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Finding the Fourth Proportional to 168,100.11, 231,978.13 and 92,648.61

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Solution

The fourth proportional to 168,100.11, 231,978.13 and 92,648.61 is: 127,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,100.11 : 231,978.13 = 92,648.61 : x
  2. Step 2: Convert to fraction form
    168,100.11/231,978.13 = 92,648.61/x
  3. Step 3: Cross multiply
    168,100.11x = 231,978.13 × 92,648.61
  4. Step 4: Simplify right side
    168,100.11x = 21,492,451,063.28
  5. Step 5: Solve for x
    x = 21,492,451,063.28/168,100.11
  6. Step 6: Final answer
    x = 127,855.07

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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.