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Finding the Fourth Proportional to 110,766.30, 166,149.45 and 81,023.10

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Solution

The fourth proportional to 110,766.30, 166,149.45 and 81,023.10 is: 121,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766.30 : 166,149.45 = 81,023.10 : x
  2. Step 2: Convert to fraction form
    110,766.30/166,149.45 = 81,023.10/x
  3. Step 3: Cross multiply
    110,766.30x = 166,149.45 × 81,023.10
  4. Step 4: Simplify right side
    110,766.30x = 13,461,943,502.30
  5. Step 5: Solve for x
    x = 13,461,943,502.30/110,766.30
  6. Step 6: Final answer
    x = 121,534.65

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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.