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Finding the Fourth Proportional to 102,561.59, 141,542.10 and 57,248.41

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Solution

The fourth proportional to 102,561.59, 141,542.10 and 57,248.41 is: 79,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,561.59 : 141,542.10 = 57,248.41 : x
  2. Step 2: Convert to fraction form
    102,561.59/141,542.10 = 57,248.41/x
  3. Step 3: Cross multiply
    102,561.59x = 141,542.10 × 57,248.41
  4. Step 4: Simplify right side
    102,561.59x = 8,103,060,173.06
  5. Step 5: Solve for x
    x = 8,103,060,173.06/102,561.59
  6. Step 6: Final answer
    x = 79,006.77

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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.