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Finding the Fourth Proportional to 206,494.80, 309,742.20 and 165,022.80

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Solution

The fourth proportional to 206,494.80, 309,742.20 and 165,022.80 is: 247,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.80 : 309,742.20 = 165,022.80 : x
  2. Step 2: Convert to fraction form
    206,494.80/309,742.20 = 165,022.80/x
  3. Step 3: Cross multiply
    206,494.80x = 309,742.20 × 165,022.80
  4. Step 4: Simplify right side
    206,494.80x = 51,114,525,122.16
  5. Step 5: Solve for x
    x = 51,114,525,122.16/206,494.80
  6. Step 6: Final answer
    x = 247,534.20

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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.