The synonyms for the word "petitionings" include requests, appeals, entreaties, pleas, and supplications. These terms are all used to indicate an earnest effort to obtain something or make a case for a certain position. Petitions are often a formal written request for a specific action from an authority, while entreaties and pleas are more informal and may be made in person or in writing. Supplications imply a more fervent or even desperate appeal, often made in a religious or spiritual context. Whatever the word chosen, the key is to express a strong desire for something and to make a clear and compelling argument in support of that request.