You would need to purchase a Windows license from TrollTech because the Qt/Windows Free Edition only supports MSVC++. The KDE on Cygwin project has gotten Qt/X11 Free Edition to build in Windows usign ...
If speed isn't an issue you could try Cygwin which comes with gcc which includes a fortran compiler. I mention speed because IMO apps running under cygwin are noticably slower than 'native' ones. And ...
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