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Finding the Fourth Proportional to 117,536.67, 176,304.20 and 47,414.97

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Solution

The fourth proportional to 117,536.67, 176,304.20 and 47,414.97 is: 71,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,536.67 : 176,304.20 = 47,414.97 : x
  2. Step 2: Convert to fraction form
    117,536.67/176,304.20 = 47,414.97/x
  3. Step 3: Cross multiply
    117,536.67x = 176,304.20 × 47,414.97
  4. Step 4: Simplify right side
    117,536.67x = 8,359,458,116.80
  5. Step 5: Solve for x
    x = 8,359,458,116.80/117,536.67
  6. Step 6: Final answer
    x = 71,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.