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Finding the Fourth Proportional to 135,680.67, 187,230 and 75,245.64

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Solution

The fourth proportional to 135,680.67, 187,230 and 75,245.64 is: 103,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,680.67 : 187,230 = 75,245.64 : x
  2. Step 2: Convert to fraction form
    135,680.67/187,230 = 75,245.64/x
  3. Step 3: Cross multiply
    135,680.67x = 187,230 × 75,245.64
  4. Step 4: Simplify right side
    135,680.67x = 14,088,241,177.20
  5. Step 5: Solve for x
    x = 14,088,241,177.20/135,680.67
  6. Step 6: Final answer
    x = 103,833.81

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Why These Related Problems?

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