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Finding the Fourth Proportional to 138,833.10, 208,249.65 and 50,100.30

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Solution

The fourth proportional to 138,833.10, 208,249.65 and 50,100.30 is: 75,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.10 : 208,249.65 = 50,100.30 : x
  2. Step 2: Convert to fraction form
    138,833.10/208,249.65 = 50,100.30/x
  3. Step 3: Cross multiply
    138,833.10x = 208,249.65 × 50,100.30
  4. Step 4: Simplify right side
    138,833.10x = 10,433,369,939.90
  5. Step 5: Solve for x
    x = 10,433,369,939.90/138,833.10
  6. Step 6: Final answer
    x = 75,150.45

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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.