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Finding the Fourth Proportional to 132,454.50, 182,854.95 and 102,171.84

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Solution

The fourth proportional to 132,454.50, 182,854.95 and 102,171.84 is: 141,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,454.50 : 182,854.95 = 102,171.84 : x
  2. Step 2: Convert to fraction form
    132,454.50/182,854.95 = 102,171.84/x
  3. Step 3: Cross multiply
    132,454.50x = 182,854.95 × 102,171.84
  4. Step 4: Simplify right side
    132,454.50x = 18,682,626,694.61
  5. Step 5: Solve for x
    x = 18,682,626,694.61/132,454.50
  6. Step 6: Final answer
    x = 141,049.39

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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.