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Finding the Fourth Proportional to 178,820.40, 267,793.20 and 85,216.80

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Solution

The fourth proportional to 178,820.40, 267,793.20 and 85,216.80 is: 127,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,820.40 : 267,793.20 = 85,216.80 : x
  2. Step 2: Convert to fraction form
    178,820.40/267,793.20 = 85,216.80/x
  3. Step 3: Cross multiply
    178,820.40x = 267,793.20 × 85,216.80
  4. Step 4: Simplify right side
    178,820.40x = 22,820,479,565.76
  5. Step 5: Solve for x
    x = 22,820,479,565.76/178,820.40
  6. Step 6: Final answer
    x = 127,616.76

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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.