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Finding the Fourth Proportional to 206,327.80, 309,491.70 and 153,839.80

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Solution

The fourth proportional to 206,327.80, 309,491.70 and 153,839.80 is: 230,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,327.80 : 309,491.70 = 153,839.80 : x
  2. Step 2: Convert to fraction form
    206,327.80/309,491.70 = 153,839.80/x
  3. Step 3: Cross multiply
    206,327.80x = 309,491.70 × 153,839.80
  4. Step 4: Simplify right side
    206,327.80x = 47,612,141,229.66
  5. Step 5: Solve for x
    x = 47,612,141,229.66/206,327.80
  6. Step 6: Final answer
    x = 230,759.70

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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.