Fairfax homeowners would see their property taxes increase by an average of $157 next year based on County Executive Anthony Griffin’s fiscal 2012 budget proposal to be released Tuesday morning. Griffin’s proposed tax rate is expected to stay the same at $1.09 per $100 of assessed value, said Board of Supervisors Chairman Sharon Bulova, D-At Large. The average homeowner’s tax burden would increase despite the steady rate because of the recovering housing market and its accompanying increase in property values.