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Finding the Fourth Proportional to 206,412.10, 309,618.15 and 195,007.30

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Solution

The fourth proportional to 206,412.10, 309,618.15 and 195,007.30 is: 292,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.10 : 309,618.15 = 195,007.30 : x
  2. Step 2: Convert to fraction form
    206,412.10/309,618.15 = 195,007.30/x
  3. Step 3: Cross multiply
    206,412.10x = 309,618.15 × 195,007.30
  4. Step 4: Simplify right side
    206,412.10x = 60,377,799,462.50
  5. Step 5: Solve for x
    x = 60,377,799,462.50/206,412.10
  6. Step 6: Final answer
    x = 292,510.95

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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.