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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2023 Workiva-->
<!--r:2d2198c1-ea43-4011-b82c-5678c2fefafa,g:4bbf574b-2f74-4fac-ba1b-23198525428d-->
<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-20230524.xsd#Cover"/>
  <link:presentationLink xlink:role="http://miacquisitions.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_b1b899ea-720d-4bff-a07b-539475c2c704" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_DocumentType_b1b899ea-720d-4bff-a07b-539475c2c704" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_29a25755-8eee-48bc-94b4-e5a48205e960" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_DocumentPeriodEndDate_29a25755-8eee-48bc-94b4-e5a48205e960" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_fc495384-dc25-4f13-a5fe-f8ac732f56bf" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityRegistrantName_fc495384-dc25-4f13-a5fe-f8ac732f56bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_f896e0ef-d6d3-4530-ae47-6d1da02e8b52" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityIncorporationStateCountryCode_f896e0ef-d6d3-4530-ae47-6d1da02e8b52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_c86a3f8d-48eb-4564-9642-2c3176e34694" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityFileNumber_c86a3f8d-48eb-4564-9642-2c3176e34694" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_70de012b-50a0-4556-a198-4acbc8c41cea" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityTaxIdentificationNumber_70de012b-50a0-4556-a198-4acbc8c41cea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_d91594ce-d365-49b3-8ce4-b1df40715930" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityAddressAddressLine1_d91594ce-d365-49b3-8ce4-b1df40715930" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_0359d88f-94b2-4dda-89e6-762b9e74a287" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityAddressAddressLine2_0359d88f-94b2-4dda-89e6-762b9e74a287" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_bcc396b7-8b52-42d9-9ae3-d80079e9e7cd" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityAddressCityOrTown_bcc396b7-8b52-42d9-9ae3-d80079e9e7cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_55ba84c7-6be6-4939-8103-30fbd472c077" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityAddressStateOrProvince_55ba84c7-6be6-4939-8103-30fbd472c077" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_b26c62e3-fec3-431e-808d-1cb5ee8acf43" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityAddressPostalZipCode_b26c62e3-fec3-431e-808d-1cb5ee8acf43" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_ec808b1f-0858-47e4-93be-586c3a873274" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_CityAreaCode_ec808b1f-0858-47e4-93be-586c3a873274" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_7e1be51d-7283-422b-8984-7129dd2dc24f" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_LocalPhoneNumber_7e1be51d-7283-422b-8984-7129dd2dc24f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_56750928-baa3-4a24-8743-534e4d50784f" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_WrittenCommunications_56750928-baa3-4a24-8743-534e4d50784f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_b5df67bb-d4b3-41aa-ad28-3181afd569aa" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_SolicitingMaterial_b5df67bb-d4b3-41aa-ad28-3181afd569aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_29bb3406-bb78-4338-bd7e-e9794c791111" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_PreCommencementTenderOffer_29bb3406-bb78-4338-bd7e-e9794c791111" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_084489e5-5dcb-420d-ac03-56d0a3463ae1" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_084489e5-5dcb-420d-ac03-56d0a3463ae1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_1df81268-4cc5-4953-ab0b-edc0b5e42f33" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_Security12bTitle_1df81268-4cc5-4953-ab0b-edc0b5e42f33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_ffcf64d1-f9dc-4288-9fdc-4ac8e5787f0f" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_TradingSymbol_ffcf64d1-f9dc-4288-9fdc-4ac8e5787f0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_2370e39f-fe1b-4385-80cd-c5b2da529967" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_SecurityExchangeName_2370e39f-fe1b-4385-80cd-c5b2da529967" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_e4be2ec6-63d0-4b30-be25-137aef7516f6" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityEmergingGrowthCompany_e4be2ec6-63d0-4b30-be25-137aef7516f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_63c44f52-8cca-4a83-8e89-0dbd08e386aa" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_EntityCentralIndexKey_63c44f52-8cca-4a83-8e89-0dbd08e386aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_5be6061c-7662-4c4e-8f86-15bd8d47e4e3" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_70a25da9-6f97-4b77-b6aa-7685bdb8853d" xlink:to="loc_dei_AmendmentFlag_5be6061c-7662-4c4e-8f86-15bd8d47e4e3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
