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Finding the Fourth Proportional to 206,470.80, 309,706.20 and 73,501.20

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Solution

The fourth proportional to 206,470.80, 309,706.20 and 73,501.20 is: 110,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.80 : 309,706.20 = 73,501.20 : x
  2. Step 2: Convert to fraction form
    206,470.80/309,706.20 = 73,501.20/x
  3. Step 3: Cross multiply
    206,470.80x = 309,706.20 × 73,501.20
  4. Step 4: Simplify right side
    206,470.80x = 22,763,777,347.44
  5. Step 5: Solve for x
    x = 22,763,777,347.44/206,470.80
  6. Step 6: Final answer
    x = 110,251.80

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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.