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Finding the Fourth Proportional to 132,546.80, 198,747.30 and 57,654.20

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Solution

The fourth proportional to 132,546.80, 198,747.30 and 57,654.20 is: 86,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,546.80 : 198,747.30 = 57,654.20 : x
  2. Step 2: Convert to fraction form
    132,546.80/198,747.30 = 57,654.20/x
  3. Step 3: Cross multiply
    132,546.80x = 198,747.30 × 57,654.20
  4. Step 4: Simplify right side
    132,546.80x = 11,458,616,583.66
  5. Step 5: Solve for x
    x = 11,458,616,583.66/132,546.80
  6. Step 6: Final answer
    x = 86,449.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.