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Finding the Fourth Proportional to 137,956.86, 206,944.10 and 36,753.23

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Solution

The fourth proportional to 137,956.86, 206,944.10 and 36,753.23 is: 55,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956.86 : 206,944.10 = 36,753.23 : x
  2. Step 2: Convert to fraction form
    137,956.86/206,944.10 = 36,753.23/x
  3. Step 3: Cross multiply
    137,956.86x = 206,944.10 × 36,753.23
  4. Step 4: Simplify right side
    137,956.86x = 7,605,864,104.44
  5. Step 5: Solve for x
    x = 7,605,864,104.44/137,956.86
  6. Step 6: Final answer
    x = 55,132.19

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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.