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Finding the Fourth Proportional to 113,891.92, 170,874.42 and 54,731.88

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Solution

The fourth proportional to 113,891.92, 170,874.42 and 54,731.88 is: 82,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,891.92 : 170,874.42 = 54,731.88 : x
  2. Step 2: Convert to fraction form
    113,891.92/170,874.42 = 54,731.88/x
  3. Step 3: Cross multiply
    113,891.92x = 170,874.42 × 54,731.88
  4. Step 4: Simplify right side
    113,891.92x = 9,352,278,250.51
  5. Step 5: Solve for x
    x = 9,352,278,250.51/113,891.92
  6. Step 6: Final answer
    x = 82,115.38

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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.