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Finding the Fourth Proportional to 102,472.96, 141,412.80 and 56,531.56

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Solution

The fourth proportional to 102,472.96, 141,412.80 and 56,531.56 is: 78,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472.96 : 141,412.80 = 56,531.56 : x
  2. Step 2: Convert to fraction form
    102,472.96/141,412.80 = 56,531.56/x
  3. Step 3: Cross multiply
    102,472.96x = 141,412.80 × 56,531.56
  4. Step 4: Simplify right side
    102,472.96x = 7,994,286,187.97
  5. Step 5: Solve for x
    x = 7,994,286,187.97/102,472.96
  6. Step 6: Final answer
    x = 78,013.62

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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.