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Finding the Fourth Proportional to 137,187.86, 205,515.49 and 101,098.83

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Solution

The fourth proportional to 137,187.86, 205,515.49 and 101,098.83 is: 151,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,187.86 : 205,515.49 = 101,098.83 : x
  2. Step 2: Convert to fraction form
    137,187.86/205,515.49 = 101,098.83/x
  3. Step 3: Cross multiply
    137,187.86x = 205,515.49 × 101,098.83
  4. Step 4: Simplify right side
    137,187.86x = 20,777,375,585.88
  5. Step 5: Solve for x
    x = 20,777,375,585.88/137,187.86
  6. Step 6: Final answer
    x = 151,452.00

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Why These Related Problems?

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