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Finding the Fourth Proportional to 138,601.40, 207,902.10 and 33,420.37

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Solution

The fourth proportional to 138,601.40, 207,902.10 and 33,420.37 is: 50,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.40 : 207,902.10 = 33,420.37 : x
  2. Step 2: Convert to fraction form
    138,601.40/207,902.10 = 33,420.37/x
  3. Step 3: Cross multiply
    138,601.40x = 207,902.10 × 33,420.37
  4. Step 4: Simplify right side
    138,601.40x = 6,948,165,105.78
  5. Step 5: Solve for x
    x = 6,948,165,105.78/138,601.40
  6. Step 6: Final answer
    x = 50,130.56

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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.