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Finding the Fourth Proportional to 167,891.77, 231,712.75 and 96,257.80

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Solution

The fourth proportional to 167,891.77, 231,712.75 and 96,257.80 is: 132,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,891.77 : 231,712.75 = 96,257.80 : x
  2. Step 2: Convert to fraction form
    167,891.77/231,712.75 = 96,257.80/x
  3. Step 3: Cross multiply
    167,891.77x = 231,712.75 × 96,257.80
  4. Step 4: Simplify right side
    167,891.77x = 22,304,159,546.95
  5. Step 5: Solve for x
    x = 22,304,159,546.95/167,891.77
  6. Step 6: Final answer
    x = 132,848.44

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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.