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Finding the Fourth Proportional to 137,239.57, 205,822.36 and 48,481.39

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Solution

The fourth proportional to 137,239.57, 205,822.36 and 48,481.39 is: 72,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,239.57 : 205,822.36 = 48,481.39 : x
  2. Step 2: Convert to fraction form
    137,239.57/205,822.36 = 48,481.39/x
  3. Step 3: Cross multiply
    137,239.57x = 205,822.36 × 48,481.39
  4. Step 4: Simplify right side
    137,239.57x = 9,978,554,105.88
  5. Step 5: Solve for x
    x = 9,978,554,105.88/137,239.57
  6. Step 6: Final answer
    x = 72,709.02

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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.