How did Madhavrao Deshpande end up in Nagar at the same time as Kakasaheb Dixit?

Madhavrao's arrival in Nagar was a pivotal and seemingly coincidental event in Dixit's quest to get to Shirdi. As detailed in Chapter 51, Madhavrao was unexpectedly summoned to Nagar by a telegram from his father-in-law, which claimed his mother-in-law was very ill and that he should come at once. Acting on this urgent message, Madhavrao obtained Baba's permission and took the three o'clock train. Upon his arrival, however, he visited his father-in-law's house and discovered that his mother-in-law's health was perfectly fine. This entire sequence, initiated by a false alarm, served as the pretext to bring him to the exact place where he was needed to assist the anxious Dixit.