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Finding the Fourth Proportional to 102,456.52, 141,412.56 and 66,584.20

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Solution

The fourth proportional to 102,456.52, 141,412.56 and 66,584.20 is: 91,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456.52 : 141,412.56 = 66,584.20 : x
  2. Step 2: Convert to fraction form
    102,456.52/141,412.56 = 66,584.20/x
  3. Step 3: Cross multiply
    102,456.52x = 141,412.56 × 66,584.20
  4. Step 4: Simplify right side
    102,456.52x = 9,415,842,177.55
  5. Step 5: Solve for x
    x = 9,415,842,177.55/102,456.52
  6. Step 6: Final answer
    x = 91,900.86

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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.