That being the case

http://www.swtimes.com/opinion/we/article_6f8e0ad6-34aa-11e1-a802-001871e3ce6c.html
No one is predicting a sure and steady economic improvement in the new year, although many indicators suggest a slow and jerky improvement. That being the case, we know that residents of western Arkansas and eastern Oklahoma will continue to see neighbors battle unemployment, hunger, homelessness and a host of other problems. And this being the greater Fort Smith region, we know that people will step up to help.
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Would it be correct to say "Such being the case" instead of That being the case? (It's not that I think That being the case is wrong.)