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Finding the Fourth Proportional to 106,654.30, 159,882.54 and 40,138.54

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Solution

The fourth proportional to 106,654.30, 159,882.54 and 40,138.54 is: 60,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,654.30 : 159,882.54 = 40,138.54 : x
  2. Step 2: Convert to fraction form
    106,654.30/159,882.54 = 40,138.54/x
  3. Step 3: Cross multiply
    106,654.30x = 159,882.54 × 40,138.54
  4. Step 4: Simplify right side
    106,654.30x = 6,417,451,727.09
  5. Step 5: Solve for x
    x = 6,417,451,727.09/106,654.30
  6. Step 6: Final answer
    x = 60,170.59

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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.