Hello Yan
Your original posting was almost empty, than you added a lot ...
The operation you are looking for is the Amplitude Spectrum. Basically you are on the right way. FourierParameters is used for some sort of scaling either omit the parameter or use {-1,1} the common choice for signal analysis.
fourierdata =
Abs@Fourier[data[[All, 2]], FourierParameters -> {-1, 1}];
ListLinePlot[fourierdata, PlotRange -> {{1, 200}, All}]
I doubt that the "Fortran" plot you showed us belongs to the data.