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Finding the Fourth Proportional to 138,839.27, 208,215.77 and 50,081.24

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Solution

The fourth proportional to 138,839.27, 208,215.77 and 50,081.24 is: 75,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,839.27 : 208,215.77 = 50,081.24 : x
  2. Step 2: Convert to fraction form
    138,839.27/208,215.77 = 50,081.24/x
  3. Step 3: Cross multiply
    138,839.27x = 208,215.77 × 50,081.24
  4. Step 4: Simplify right side
    138,839.27x = 10,427,703,048.07
  5. Step 5: Solve for x
    x = 10,427,703,048.07/138,839.27
  6. Step 6: Final answer
    x = 75,106.30

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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.