How did some of the ideas of the
Populist Party influence twentieth century politics?

The populist party began to weaken during the early parts of the 20th century. One trait that continue for the party itself was the progressives, which started when they supported Jennings Bryan, but then moved to a more traditional role and started supporting more and more Democratic candidates. This was during the time of the first party shift, in which big corporations headed before his death in 1913, John D. Rockefeller, the Republican Party. The Irish feeling neglected came out in doves for Jennings Bryan in the 1898 election against McKinley, and parts of the 20th century.

i believe it is capitalists.