<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2023 Workiva-->
<!--r:68a1f66e-393a-4dc5-a5fe-bfbd56e9bbc7,g:18dd7903-38b3-417e-9f71-ce6cb14e5d59-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://miacquisitions.com/role/Cover" xlink:type="simple" xlink:href="prth-20230810.xsd#Cover"/>
  <link:presentationLink xlink:role="http://miacquisitions.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_937f1979-3c6d-4f3e-a294-b4f7b0de8fe5" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_DocumentType_937f1979-3c6d-4f3e-a294-b4f7b0de8fe5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_c0e3b725-ccc7-4b56-8dd4-0e43be6da50c" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_DocumentPeriodEndDate_c0e3b725-ccc7-4b56-8dd4-0e43be6da50c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_cf03d870-f1ff-4e3f-bc79-ab72b6d88fbe" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityRegistrantName_cf03d870-f1ff-4e3f-bc79-ab72b6d88fbe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_d915a945-8942-481a-8983-ff1067f65fa8" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityIncorporationStateCountryCode_d915a945-8942-481a-8983-ff1067f65fa8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_1915c533-248b-4560-a189-183e06bedd5d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityFileNumber_1915c533-248b-4560-a189-183e06bedd5d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_95929e55-a451-499b-b35f-c6adacde7b48" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityTaxIdentificationNumber_95929e55-a451-499b-b35f-c6adacde7b48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_fad6354c-9af6-43c2-9515-089b3fd14958" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityAddressAddressLine1_fad6354c-9af6-43c2-9515-089b3fd14958" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_837b87e5-3564-429f-a3aa-ebbd698e44ce" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityAddressAddressLine2_837b87e5-3564-429f-a3aa-ebbd698e44ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_4e69f488-0186-4311-b33e-d06823ef5d80" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityAddressCityOrTown_4e69f488-0186-4311-b33e-d06823ef5d80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_9f2c8e5f-59f1-469e-ae96-60f41f178a5c" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityAddressStateOrProvince_9f2c8e5f-59f1-469e-ae96-60f41f178a5c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_d1370279-f4c6-46d7-912a-3d67c0cff658" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityAddressPostalZipCode_d1370279-f4c6-46d7-912a-3d67c0cff658" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_e6e89a4e-6b44-43a4-8d8b-88d45a847762" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_CityAreaCode_e6e89a4e-6b44-43a4-8d8b-88d45a847762" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_303959a2-91ea-4aee-bb1b-1439be47d501" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_LocalPhoneNumber_303959a2-91ea-4aee-bb1b-1439be47d501" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_a1a7a3b0-383a-4891-a1f9-f6b370060487" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_WrittenCommunications_a1a7a3b0-383a-4891-a1f9-f6b370060487" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_c594d353-b687-4558-9d79-b73d824cd896" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_SolicitingMaterial_c594d353-b687-4558-9d79-b73d824cd896" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_581bc6dc-076e-4afb-8e4a-16f822da3421" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_PreCommencementTenderOffer_581bc6dc-076e-4afb-8e4a-16f822da3421" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_364c5242-1d77-4b41-9ae1-825e11a40c4b" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_364c5242-1d77-4b41-9ae1-825e11a40c4b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_466a0e63-25fb-4fe3-896e-f12909beb55c" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_Security12bTitle_466a0e63-25fb-4fe3-896e-f12909beb55c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_e9b0e2e8-801c-403f-9790-92aa2f25b447" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_TradingSymbol_e9b0e2e8-801c-403f-9790-92aa2f25b447" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_38bb7346-1cf5-4fbd-afeb-8db0284e3eb9" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_SecurityExchangeName_38bb7346-1cf5-4fbd-afeb-8db0284e3eb9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_8cc3e4c1-7c23-46af-a899-f66e37dfc2ff" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityEmergingGrowthCompany_8cc3e4c1-7c23-46af-a899-f66e37dfc2ff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_1b7299c4-0354-4ef2-b64a-64279da5203e" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_EntityCentralIndexKey_1b7299c4-0354-4ef2-b64a-64279da5203e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_d1402452-dff9-41b3-a171-3699ab4204ba" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_68a3d8df-feea-4ead-82ad-47696cd31b7f" xlink:to="loc_dei_AmendmentFlag_d1402452-dff9-41b3-a171-3699ab4204ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
