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Finding the Fourth Proportional to 132,559.30, 182,934.96 and 75,202.49

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Solution

The fourth proportional to 132,559.30, 182,934.96 and 75,202.49 is: 103,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,559.30 : 182,934.96 = 75,202.49 : x
  2. Step 2: Convert to fraction form
    132,559.30/182,934.96 = 75,202.49/x
  3. Step 3: Cross multiply
    132,559.30x = 182,934.96 × 75,202.49
  4. Step 4: Simplify right side
    132,559.30x = 13,757,165,239.40
  5. Step 5: Solve for x
    x = 13,757,165,239.40/132,559.30
  6. Step 6: Final answer
    x = 103,781.21

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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.