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Finding the Fourth Proportional to 138,065.44, 206,899.92 and 59,158.24

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Solution

The fourth proportional to 138,065.44, 206,899.92 and 59,158.24 is: 88,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,065.44 : 206,899.92 = 59,158.24 : x
  2. Step 2: Convert to fraction form
    138,065.44/206,899.92 = 59,158.24/x
  3. Step 3: Cross multiply
    138,065.44x = 206,899.92 × 59,158.24
  4. Step 4: Simplify right side
    138,065.44x = 12,239,835,123.34
  5. Step 5: Solve for x
    x = 12,239,835,123.34/138,065.44
  6. Step 6: Final answer
    x = 88,652.42

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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.