For 3 sets of measures it looks like maybe some work may need to be done with SQL or in the data source. This Drawing With Numbers Article may help point you in the right direction on how to workaround what you are looking for (seemingly 8b on the sample workbook looks a lot like what you want).
Drawing with Numbers link: Bars and Lines | Drawing with Numbers
Tableau Community Vote page for "voting up the idea": Side-by-Side Bar Chart combined with Line Chart
Hope that helps!
Hi Jillian - thank you for the response. Unfortunately I do not have control over changing the source data (its coming from an Excel sheet which someone else creates from an Access database). Thanks for the link I will go check it out.