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Finding the Fourth Proportional to 102,769.77, 141,845.16 and 62,475

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Solution

The fourth proportional to 102,769.77, 141,845.16 and 62,475 is: 86,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,769.77 : 141,845.16 = 62,475 : x
  2. Step 2: Convert to fraction form
    102,769.77/141,845.16 = 62,475/x
  3. Step 3: Cross multiply
    102,769.77x = 141,845.16 × 62,475
  4. Step 4: Simplify right side
    102,769.77x = 8,861,776,371
  5. Step 5: Solve for x
    x = 8,861,776,371/102,769.77
  6. Step 6: Final answer
    x = 86,229.41

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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.