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Finding the Fourth Proportional to 178,834.40, 267,814.20 and 85,230.80

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Solution

The fourth proportional to 178,834.40, 267,814.20 and 85,230.80 is: 127,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,834.40 : 267,814.20 = 85,230.80 : x
  2. Step 2: Convert to fraction form
    178,834.40/267,814.20 = 85,230.80/x
  3. Step 3: Cross multiply
    178,834.40x = 267,814.20 × 85,230.80
  4. Step 4: Simplify right side
    178,834.40x = 22,826,018,517.36
  5. Step 5: Solve for x
    x = 22,826,018,517.36/178,834.40
  6. Step 6: Final answer
    x = 127,637.74

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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.