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Finding the Fourth Proportional to 132,545.94, 182,911.97 and 78,829.78

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Solution

The fourth proportional to 132,545.94, 182,911.97 and 78,829.78 is: 108,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,545.94 : 182,911.97 = 78,829.78 : x
  2. Step 2: Convert to fraction form
    132,545.94/182,911.97 = 78,829.78/x
  3. Step 3: Cross multiply
    132,545.94x = 182,911.97 × 78,829.78
  4. Step 4: Simplify right side
    132,545.94x = 14,418,910,354.47
  5. Step 5: Solve for x
    x = 14,418,910,354.47/132,545.94
  6. Step 6: Final answer
    x = 108,784.25

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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.