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Finding the Fourth Proportional to 132,205.31, 182,454.62 and 74,854.73

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Solution

The fourth proportional to 132,205.31, 182,454.62 and 74,854.73 is: 103,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,205.31 : 182,454.62 = 74,854.73 : x
  2. Step 2: Convert to fraction form
    132,205.31/182,454.62 = 74,854.73/x
  3. Step 3: Cross multiply
    132,205.31x = 182,454.62 × 74,854.73
  4. Step 4: Simplify right side
    132,205.31x = 13,657,591,609.74
  5. Step 5: Solve for x
    x = 13,657,591,609.74/132,205.31
  6. Step 6: Final answer
    x = 103,305.93

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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.