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Finding the Fourth Proportional to 163,960.38, 225,877.61 and 156,393.20

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Solution

The fourth proportional to 163,960.38, 225,877.61 and 156,393.20 is: 215,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,960.38 : 225,877.61 = 156,393.20 : x
  2. Step 2: Convert to fraction form
    163,960.38/225,877.61 = 156,393.20/x
  3. Step 3: Cross multiply
    163,960.38x = 225,877.61 × 156,393.20
  4. Step 4: Simplify right side
    163,960.38x = 35,325,720,324.90
  5. Step 5: Solve for x
    x = 35,325,720,324.90/163,960.38
  6. Step 6: Final answer
    x = 215,452.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.