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Finding the Fourth Proportional to 110,536.85, 165,789.13 and 54,361.88

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Solution

The fourth proportional to 110,536.85, 165,789.13 and 54,361.88 is: 81,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536.85 : 165,789.13 = 54,361.88 : x
  2. Step 2: Convert to fraction form
    110,536.85/165,789.13 = 54,361.88/x
  3. Step 3: Cross multiply
    110,536.85x = 165,789.13 × 54,361.88
  4. Step 4: Simplify right side
    110,536.85x = 9,012,609,481.72
  5. Step 5: Solve for x
    x = 9,012,609,481.72/110,536.85
  6. Step 6: Final answer
    x = 81,534.88

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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.