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Finding the Fourth Proportional to 102,665.92, 141,677.46 and 57,344.56

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Solution

The fourth proportional to 102,665.92, 141,677.46 and 57,344.56 is: 79,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.92 : 141,677.46 = 57,344.56 : x
  2. Step 2: Convert to fraction form
    102,665.92/141,677.46 = 57,344.56/x
  3. Step 3: Cross multiply
    102,665.92x = 141,677.46 × 57,344.56
  4. Step 4: Simplify right side
    102,665.92x = 8,124,431,251.42
  5. Step 5: Solve for x
    x = 8,124,431,251.42/102,665.92
  6. Step 6: Final answer
    x = 79,134.65

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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.