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Finding the Fourth Proportional to 102,744.57, 141,784.68 and 57,422.73

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Solution

The fourth proportional to 102,744.57, 141,784.68 and 57,422.73 is: 79,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744.57 : 141,784.68 = 57,422.73 : x
  2. Step 2: Convert to fraction form
    102,744.57/141,784.68 = 57,422.73/x
  3. Step 3: Cross multiply
    102,744.57x = 141,784.68 × 57,422.73
  4. Step 4: Simplify right side
    102,744.57x = 8,141,663,397.78
  5. Step 5: Solve for x
    x = 8,141,663,397.78/102,744.57
  6. Step 6: Final answer
    x = 79,241.79

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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.