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Finding the Fourth Proportional to 138,147.20, 206,875.20 and 110,499.20

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Solution

The fourth proportional to 138,147.20, 206,875.20 and 110,499.20 is: 165,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,147.20 : 206,875.20 = 110,499.20 : x
  2. Step 2: Convert to fraction form
    138,147.20/206,875.20 = 110,499.20/x
  3. Step 3: Cross multiply
    138,147.20x = 206,875.20 × 110,499.20
  4. Step 4: Simplify right side
    138,147.20x = 22,859,544,099.84
  5. Step 5: Solve for x
    x = 22,859,544,099.84/138,147.20
  6. Step 6: Final answer
    x = 165,472.37

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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.