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Finding the Fourth Proportional to 110,414.48, 165,113.04 and 82,005.12

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Solution

The fourth proportional to 110,414.48, 165,113.04 and 82,005.12 is: 122,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414.48 : 165,113.04 = 82,005.12 : x
  2. Step 2: Convert to fraction form
    110,414.48/165,113.04 = 82,005.12/x
  3. Step 3: Cross multiply
    110,414.48x = 165,113.04 × 82,005.12
  4. Step 4: Simplify right side
    110,414.48x = 13,540,114,658.76
  5. Step 5: Solve for x
    x = 13,540,114,658.76/110,414.48
  6. Step 6: Final answer
    x = 122,629.88

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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.