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Finding the Fourth Proportional to 132,305.91, 182,583.44 and 71,877.03

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Solution

The fourth proportional to 132,305.91, 182,583.44 and 71,877.03 is: 99,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,305.91 : 182,583.44 = 71,877.03 : x
  2. Step 2: Convert to fraction form
    132,305.91/182,583.44 = 71,877.03/x
  3. Step 3: Cross multiply
    132,305.91x = 182,583.44 × 71,877.03
  4. Step 4: Simplify right side
    132,305.91x = 13,123,555,394.38
  5. Step 5: Solve for x
    x = 13,123,555,394.38/132,305.91
  6. Step 6: Final answer
    x = 99,191.00

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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.