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Finding the Fourth Proportional to 165,920.43, 248,963.72 and 75,962.97

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Solution

The fourth proportional to 165,920.43, 248,963.72 and 75,962.97 is: 113,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,920.43 : 248,963.72 = 75,962.97 : x
  2. Step 2: Convert to fraction form
    165,920.43/248,963.72 = 75,962.97/x
  3. Step 3: Cross multiply
    165,920.43x = 248,963.72 × 75,962.97
  4. Step 4: Simplify right side
    165,920.43x = 18,912,023,213.63
  5. Step 5: Solve for x
    x = 18,912,023,213.63/165,920.43
  6. Step 6: Final answer
    x = 113,982.49

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