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Finding the Fourth Proportional to 138,475.98, 207,713.97 and 33,294.95

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Solution

The fourth proportional to 138,475.98, 207,713.97 and 33,294.95 is: 49,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,475.98 : 207,713.97 = 33,294.95 : x
  2. Step 2: Convert to fraction form
    138,475.98/207,713.97 = 33,294.95/x
  3. Step 3: Cross multiply
    138,475.98x = 207,713.97 × 33,294.95
  4. Step 4: Simplify right side
    138,475.98x = 6,915,825,206.88
  5. Step 5: Solve for x
    x = 6,915,825,206.88/138,475.98
  6. Step 6: Final answer
    x = 49,942.42

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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.