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Finding the Fourth Proportional to 120,746.80, 166,631.18 and 75,451.10

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Solution

The fourth proportional to 120,746.80, 166,631.18 and 75,451.10 is: 104,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,746.80 : 166,631.18 = 75,451.10 : x
  2. Step 2: Convert to fraction form
    120,746.80/166,631.18 = 75,451.10/x
  3. Step 3: Cross multiply
    120,746.80x = 166,631.18 × 75,451.10
  4. Step 4: Simplify right side
    120,746.80x = 12,572,504,614.89
  5. Step 5: Solve for x
    x = 12,572,504,614.89/120,746.80
  6. Step 6: Final answer
    x = 104,122.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.