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Finding the Fourth Proportional to 157,367.12, 236,120.46 and 82,469.46

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Solution

The fourth proportional to 157,367.12, 236,120.46 and 82,469.46 is: 123,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,367.12 : 236,120.46 = 82,469.46 : x
  2. Step 2: Convert to fraction form
    157,367.12/236,120.46 = 82,469.46/x
  3. Step 3: Cross multiply
    157,367.12x = 236,120.46 × 82,469.46
  4. Step 4: Simplify right side
    157,367.12x = 19,472,726,831.15
  5. Step 5: Solve for x
    x = 19,472,726,831.15/157,367.12
  6. Step 6: Final answer
    x = 123,740.76

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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.