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Finding the Fourth Proportional to 101,257.44, 139,736.25 and 55,936.50

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Solution

The fourth proportional to 101,257.44, 139,736.25 and 55,936.50 is: 77,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,257.44 : 139,736.25 = 55,936.50 : x
  2. Step 2: Convert to fraction form
    101,257.44/139,736.25 = 55,936.50/x
  3. Step 3: Cross multiply
    101,257.44x = 139,736.25 × 55,936.50
  4. Step 4: Simplify right side
    101,257.44x = 7,816,356,748.13
  5. Step 5: Solve for x
    x = 7,816,356,748.13/101,257.44
  6. Step 6: Final answer
    x = 77,192.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.