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Finding the Fourth Proportional to 157,367.09, 236,120.42 and 82,469.43

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Solution

The fourth proportional to 157,367.09, 236,120.42 and 82,469.43 is: 123,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,367.09 : 236,120.42 = 82,469.43 : x
  2. Step 2: Convert to fraction form
    157,367.09/236,120.42 = 82,469.43/x
  3. Step 3: Cross multiply
    157,367.09x = 236,120.42 × 82,469.43
  4. Step 4: Simplify right side
    157,367.09x = 19,472,716,036.41
  5. Step 5: Solve for x
    x = 19,472,716,036.41/157,367.09
  6. Step 6: Final answer
    x = 123,740.71

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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.