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Finding the Fourth Proportional to 138,744.16, 208,149.36 and 45,250

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Solution

The fourth proportional to 138,744.16, 208,149.36 and 45,250 is: 67,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,744.16 : 208,149.36 = 45,250 : x
  2. Step 2: Convert to fraction form
    138,744.16/208,149.36 = 45,250/x
  3. Step 3: Cross multiply
    138,744.16x = 208,149.36 × 45,250
  4. Step 4: Simplify right side
    138,744.16x = 9,418,758,540
  5. Step 5: Solve for x
    x = 9,418,758,540/138,744.16
  6. Step 6: Final answer
    x = 67,885.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.