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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:e309866e-263d-4dfc-ac3f-65dbbceb0f8a,g:98713b4b-1c6b-48e1-9f9e-dcaf76cbdd3d-->
<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-20240223.xsd#Cover"/>
  <link:presentationLink xlink:role="http://miacquisitions.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_e26d2e49-3061-4d13-8527-e347fb2db174" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_DocumentType_e26d2e49-3061-4d13-8527-e347fb2db174" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_9dfea0fc-ce0d-4397-a87e-726b0dc50cb4" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_DocumentPeriodEndDate_9dfea0fc-ce0d-4397-a87e-726b0dc50cb4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_39d81e46-4d2c-4773-bd4f-bd13b713e35d" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityRegistrantName_39d81e46-4d2c-4773-bd4f-bd13b713e35d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_119ea09d-6375-40b9-8740-4aaec6ca7b70" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityIncorporationStateCountryCode_119ea09d-6375-40b9-8740-4aaec6ca7b70" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_a70431bc-899c-4c8d-b9b8-de31f4edf038" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityFileNumber_a70431bc-899c-4c8d-b9b8-de31f4edf038" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_42538412-08f2-4985-80c6-c3b5dc27bfd9" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityTaxIdentificationNumber_42538412-08f2-4985-80c6-c3b5dc27bfd9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_3330f0d6-b1a3-47d4-8e0b-e9dc64c9428e" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityAddressAddressLine1_3330f0d6-b1a3-47d4-8e0b-e9dc64c9428e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_93617fd1-a656-4ef3-9ce0-fe00613d0c57" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityAddressAddressLine2_93617fd1-a656-4ef3-9ce0-fe00613d0c57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_b95110bb-e164-41cc-a28d-5370421a5175" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityAddressCityOrTown_b95110bb-e164-41cc-a28d-5370421a5175" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_91088d59-f662-44f3-bdfe-52d5fe4a7d31" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityAddressStateOrProvince_91088d59-f662-44f3-bdfe-52d5fe4a7d31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_dda68736-8ed0-4198-a7ec-fa017ef34e40" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityAddressPostalZipCode_dda68736-8ed0-4198-a7ec-fa017ef34e40" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_75a95630-d1ac-4020-ab48-d156ea85ca21" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_CityAreaCode_75a95630-d1ac-4020-ab48-d156ea85ca21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_6ba3c98a-1588-4344-a5ee-f6326b2d7219" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_LocalPhoneNumber_6ba3c98a-1588-4344-a5ee-f6326b2d7219" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_783ea972-ad5f-4aca-a8ef-c7314d1a29f6" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_WrittenCommunications_783ea972-ad5f-4aca-a8ef-c7314d1a29f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_5cfcba07-da7e-42ab-a163-9e6b2bea8c13" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_SolicitingMaterial_5cfcba07-da7e-42ab-a163-9e6b2bea8c13" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_abc0e233-31c7-48fd-8cbc-ae25a3e1d85a" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_PreCommencementTenderOffer_abc0e233-31c7-48fd-8cbc-ae25a3e1d85a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_24d393a8-fdf5-4b72-a469-9e126b1df756" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_24d393a8-fdf5-4b72-a469-9e126b1df756" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_99266398-29f2-4aec-91b4-9701f1e4b62a" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_Security12bTitle_99266398-29f2-4aec-91b4-9701f1e4b62a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_a4799638-9e9a-4ca7-9e5d-86ecfe551603" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_TradingSymbol_a4799638-9e9a-4ca7-9e5d-86ecfe551603" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_86e01221-5603-448a-985e-d9ccbc29e2b9" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_SecurityExchangeName_86e01221-5603-448a-985e-d9ccbc29e2b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_5dddc4b3-9311-4103-8d6e-0b32ea45539a" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityEmergingGrowthCompany_5dddc4b3-9311-4103-8d6e-0b32ea45539a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_7bf97abf-5cac-4fea-a44c-09e17bc32eaf" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_EntityCentralIndexKey_7bf97abf-5cac-4fea-a44c-09e17bc32eaf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_d8182701-562d-4135-8f1a-b60f060f504b" 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_0f1f6143-f156-4d6c-bbc2-65a29feac289" xlink:to="loc_dei_AmendmentFlag_d8182701-562d-4135-8f1a-b60f060f504b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
