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Finding the Fourth Proportional to 120,512.57, 166,287.80 and 75,183.35

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Solution

The fourth proportional to 120,512.57, 166,287.80 and 75,183.35 is: 103,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,512.57 : 166,287.80 = 75,183.35 : x
  2. Step 2: Convert to fraction form
    120,512.57/166,287.80 = 75,183.35/x
  3. Step 3: Cross multiply
    120,512.57x = 166,287.80 × 75,183.35
  4. Step 4: Simplify right side
    120,512.57x = 12,502,073,224.65
  5. Step 5: Solve for x
    x = 12,502,073,224.65/120,512.57
  6. Step 6: Final answer
    x = 103,740.83

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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.