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Finding the Fourth Proportional to 132,854.80, 199,013.40 and 82,781.20

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Solution

The fourth proportional to 132,854.80, 199,013.40 and 82,781.20 is: 124,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,854.80 : 199,013.40 = 82,781.20 : x
  2. Step 2: Convert to fraction form
    132,854.80/199,013.40 = 82,781.20/x
  3. Step 3: Cross multiply
    132,854.80x = 199,013.40 × 82,781.20
  4. Step 4: Simplify right side
    132,854.80x = 16,474,568,068.08
  5. Step 5: Solve for x
    x = 16,474,568,068.08/132,854.80
  6. Step 6: Final answer
    x = 124,004.31

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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.