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Finding the Fourth Proportional to 206,002.60, 309,234.30 and 192,466.60

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Solution

The fourth proportional to 206,002.60, 309,234.30 and 192,466.60 is: 288,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,002.60 : 309,234.30 = 192,466.60 : x
  2. Step 2: Convert to fraction form
    206,002.60/309,234.30 = 192,466.60/x
  3. Step 3: Cross multiply
    206,002.60x = 309,234.30 × 192,466.60
  4. Step 4: Simplify right side
    206,002.60x = 59,517,274,324.38
  5. Step 5: Solve for x
    x = 59,517,274,324.38/206,002.60
  6. Step 6: Final answer
    x = 288,915.16

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1.5x scale

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.