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Finding the Fourth Proportional to 138,832.75, 208,249.16 and 50,086.23

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Solution

The fourth proportional to 138,832.75, 208,249.16 and 50,086.23 is: 75,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,832.75 : 208,249.16 = 50,086.23 : x
  2. Step 2: Convert to fraction form
    138,832.75/208,249.16 = 50,086.23/x
  3. Step 3: Cross multiply
    138,832.75x = 208,249.16 × 50,086.23
  4. Step 4: Simplify right side
    138,832.75x = 10,430,415,201.91
  5. Step 5: Solve for x
    x = 10,430,415,201.91/138,832.75
  6. Step 6: Final answer
    x = 75,129.35

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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.