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Finding the Fourth Proportional to 167,809, 231,576.48 and 92,355.88

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Solution

The fourth proportional to 167,809, 231,576.48 and 92,355.88 is: 127,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,809 : 231,576.48 = 92,355.88 : x
  2. Step 2: Convert to fraction form
    167,809/231,576.48 = 92,355.88/x
  3. Step 3: Cross multiply
    167,809x = 231,576.48 × 92,355.88
  4. Step 4: Simplify right side
    167,809x = 21,387,449,597.70
  5. Step 5: Solve for x
    x = 21,387,449,597.70/167,809
  6. Step 6: Final answer
    x = 127,451.15

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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.