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Finding the Fourth Proportional to 142,123.94, 196,131.40 and 77,593.26

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Solution

The fourth proportional to 142,123.94, 196,131.40 and 77,593.26 is: 107,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,123.94 : 196,131.40 = 77,593.26 : x
  2. Step 2: Convert to fraction form
    142,123.94/196,131.40 = 77,593.26/x
  3. Step 3: Cross multiply
    142,123.94x = 196,131.40 × 77,593.26
  4. Step 4: Simplify right side
    142,123.94x = 15,218,475,255.87
  5. Step 5: Solve for x
    x = 15,218,475,255.87/142,123.94
  6. Step 6: Final answer
    x = 107,078.90

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