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Finding the Fourth Proportional to 138,915.83, 208,249.97 and 50,149.58

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Solution

The fourth proportional to 138,915.83, 208,249.97 and 50,149.58 is: 75,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,915.83 : 208,249.97 = 50,149.58 : x
  2. Step 2: Convert to fraction form
    138,915.83/208,249.97 = 50,149.58/x
  3. Step 3: Cross multiply
    138,915.83x = 208,249.97 × 50,149.58
  4. Step 4: Simplify right side
    138,915.83x = 10,443,647,238.51
  5. Step 5: Solve for x
    x = 10,443,647,238.51/138,915.83
  6. Step 6: Final answer
    x = 75,179.68

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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.