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Finding the Fourth Proportional to 132,304.91, 182,582.06 and 71,876.03

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Solution

The fourth proportional to 132,304.91, 182,582.06 and 71,876.03 is: 99,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304.91 : 182,582.06 = 71,876.03 : x
  2. Step 2: Convert to fraction form
    132,304.91/182,582.06 = 71,876.03/x
  3. Step 3: Cross multiply
    132,304.91x = 182,582.06 × 71,876.03
  4. Step 4: Simplify right side
    132,304.91x = 13,123,272,349.73
  5. Step 5: Solve for x
    x = 13,123,272,349.73/132,304.91
  6. Step 6: Final answer
    x = 99,189.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.