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Finding the Fourth Proportional to 102,487.68, 141,433.17 and 57,168.60

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Solution

The fourth proportional to 102,487.68, 141,433.17 and 57,168.60 is: 78,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,487.68 : 141,433.17 = 57,168.60 : x
  2. Step 2: Convert to fraction form
    102,487.68/141,433.17 = 57,168.60/x
  3. Step 3: Cross multiply
    102,487.68x = 141,433.17 × 57,168.60
  4. Step 4: Simplify right side
    102,487.68x = 8,085,536,322.46
  5. Step 5: Solve for x
    x = 8,085,536,322.46/102,487.68
  6. Step 6: Final answer
    x = 78,892.76

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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.