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Finding the Fourth Proportional to 168,002, 231,843.48 and 92,548.88

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Solution

The fourth proportional to 168,002, 231,843.48 and 92,548.88 is: 127,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,002 : 231,843.48 = 92,548.88 : x
  2. Step 2: Convert to fraction form
    168,002/231,843.48 = 92,548.88/x
  3. Step 3: Cross multiply
    168,002x = 231,843.48 × 92,548.88
  4. Step 4: Simplify right side
    168,002x = 21,456,854,409.30
  5. Step 5: Solve for x
    x = 21,456,854,409.30/168,002
  6. Step 6: Final answer
    x = 127,717.85

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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.