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Finding the Fourth Proportional to 206,594.80, 309,892.20 and 180,350.80

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Solution

The fourth proportional to 206,594.80, 309,892.20 and 180,350.80 is: 270,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,594.80 : 309,892.20 = 180,350.80 : x
  2. Step 2: Convert to fraction form
    206,594.80/309,892.20 = 180,350.80/x
  3. Step 3: Cross multiply
    206,594.80x = 309,892.20 × 180,350.80
  4. Step 4: Simplify right side
    206,594.80x = 55,889,306,183.76
  5. Step 5: Solve for x
    x = 55,889,306,183.76/206,594.80
  6. Step 6: Final answer
    x = 270,526.20

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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.