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Finding the Fourth Proportional to 132,542.58, 182,920.93 and 75,200.57

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Solution

The fourth proportional to 132,542.58, 182,920.93 and 75,200.57 is: 103,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,542.58 : 182,920.93 = 75,200.57 : x
  2. Step 2: Convert to fraction form
    132,542.58/182,920.93 = 75,200.57/x
  3. Step 3: Cross multiply
    132,542.58x = 182,920.93 × 75,200.57
  4. Step 4: Simplify right side
    132,542.58x = 13,755,758,207.28
  5. Step 5: Solve for x
    x = 13,755,758,207.28/132,542.58
  6. Step 6: Final answer
    x = 103,783.69

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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.