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Finding the Fourth Proportional to 138,645.52, 207,982.86 and 45,158.56

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Solution

The fourth proportional to 138,645.52, 207,982.86 and 45,158.56 is: 67,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645.52 : 207,982.86 = 45,158.56 : x
  2. Step 2: Convert to fraction form
    138,645.52/207,982.86 = 45,158.56/x
  3. Step 3: Cross multiply
    138,645.52x = 207,982.86 × 45,158.56
  4. Step 4: Simplify right side
    138,645.52x = 9,392,206,462.28
  5. Step 5: Solve for x
    x = 9,392,206,462.28/138,645.52
  6. Step 6: Final answer
    x = 67,742.59

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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.