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Finding the Fourth Proportional to 157,785.20, 236,332.20 and 137,049.20

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Solution

The fourth proportional to 157,785.20, 236,332.20 and 137,049.20 is: 205,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,785.20 : 236,332.20 = 137,049.20 : x
  2. Step 2: Convert to fraction form
    157,785.20/236,332.20 = 137,049.20/x
  3. Step 3: Cross multiply
    157,785.20x = 236,332.20 × 137,049.20
  4. Step 4: Simplify right side
    157,785.20x = 32,389,138,944.24
  5. Step 5: Solve for x
    x = 32,389,138,944.24/157,785.20
  6. Step 6: Final answer
    x = 205,273.62

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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.