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Finding the Fourth Proportional to 138,320.80, 207,481.20 and 85,832.80

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Solution

The fourth proportional to 138,320.80, 207,481.20 and 85,832.80 is: 128,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,320.80 : 207,481.20 = 85,832.80 : x
  2. Step 2: Convert to fraction form
    138,320.80/207,481.20 = 85,832.80/x
  3. Step 3: Cross multiply
    138,320.80x = 207,481.20 × 85,832.80
  4. Step 4: Simplify right side
    138,320.80x = 17,808,692,343.36
  5. Step 5: Solve for x
    x = 17,808,692,343.36/138,320.80
  6. Step 6: Final answer
    x = 128,749.20

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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.