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Finding the Fourth Proportional to 110,420.82, 165,512.16 and 54,195.48

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Solution

The fourth proportional to 110,420.82, 165,512.16 and 54,195.48 is: 81,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,420.82 : 165,512.16 = 54,195.48 : x
  2. Step 2: Convert to fraction form
    110,420.82/165,512.16 = 54,195.48/x
  3. Step 3: Cross multiply
    110,420.82x = 165,512.16 × 54,195.48
  4. Step 4: Simplify right side
    110,420.82x = 8,970,010,957.04
  5. Step 5: Solve for x
    x = 8,970,010,957.04/110,420.82
  6. Step 6: Final answer
    x = 81,234.78

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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.