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Finding the Fourth Proportional to 206,519.57, 309,868.16 and 111,817.43

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Solution

The fourth proportional to 206,519.57, 309,868.16 and 111,817.43 is: 167,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,519.57 : 309,868.16 = 111,817.43 : x
  2. Step 2: Convert to fraction form
    206,519.57/309,868.16 = 111,817.43/x
  3. Step 3: Cross multiply
    206,519.57x = 309,868.16 × 111,817.43
  4. Step 4: Simplify right side
    206,519.57x = 34,648,660,343.61
  5. Step 5: Solve for x
    x = 34,648,660,343.61/206,519.57
  6. Step 6: Final answer
    x = 167,774.22

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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.