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Finding the Fourth Proportional to 178,206.80, 267,310.20 and 167,838.80

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Solution

The fourth proportional to 178,206.80, 267,310.20 and 167,838.80 is: 251,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,206.80 : 267,310.20 = 167,838.80 : x
  2. Step 2: Convert to fraction form
    178,206.80/267,310.20 = 167,838.80/x
  3. Step 3: Cross multiply
    178,206.80x = 267,310.20 × 167,838.80
  4. Step 4: Simplify right side
    178,206.80x = 44,865,023,195.76
  5. Step 5: Solve for x
    x = 44,865,023,195.76/178,206.80
  6. Step 6: Final answer
    x = 251,758.20

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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.