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Finding the Fourth Proportional to 137,233.52, 205,583.90 and 101,144.38

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Solution

The fourth proportional to 137,233.52, 205,583.90 and 101,144.38 is: 151,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,233.52 : 205,583.90 = 101,144.38 : x
  2. Step 2: Convert to fraction form
    137,233.52/205,583.90 = 101,144.38/x
  3. Step 3: Cross multiply
    137,233.52x = 205,583.90 × 101,144.38
  4. Step 4: Simplify right side
    137,233.52x = 20,793,656,103.48
  5. Step 5: Solve for x
    x = 20,793,656,103.48/137,233.52
  6. Step 6: Final answer
    x = 151,520.24

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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.