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Finding the Fourth Proportional to 138,764.96, 208,147.42 and 33,583.92

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Solution

The fourth proportional to 138,764.96, 208,147.42 and 33,583.92 is: 50,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764.96 : 208,147.42 = 33,583.92 : x
  2. Step 2: Convert to fraction form
    138,764.96/208,147.42 = 33,583.92/x
  3. Step 3: Cross multiply
    138,764.96x = 208,147.42 × 33,583.92
  4. Step 4: Simplify right side
    138,764.96x = 6,990,406,301.49
  5. Step 5: Solve for x
    x = 6,990,406,301.49/138,764.96
  6. Step 6: Final answer
    x = 50,375.88

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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.