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Finding the Fourth Proportional to 230,565.76, 345,847.60 and 90,225.44

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Solution

The fourth proportional to 230,565.76, 345,847.60 and 90,225.44 is: 135,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,565.76 : 345,847.60 = 90,225.44 : x
  2. Step 2: Convert to fraction form
    230,565.76/345,847.60 = 90,225.44/x
  3. Step 3: Cross multiply
    230,565.76x = 345,847.60 × 90,225.44
  4. Step 4: Simplify right side
    230,565.76x = 31,204,251,882.94
  5. Step 5: Solve for x
    x = 31,204,251,882.94/230,565.76
  6. Step 6: Final answer
    x = 135,337.75

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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.