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Finding the Fourth Proportional to 198,229.20, 297,343.80 and 164,986.80

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Solution

The fourth proportional to 198,229.20, 297,343.80 and 164,986.80 is: 247,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,229.20 : 297,343.80 = 164,986.80 : x
  2. Step 2: Convert to fraction form
    198,229.20/297,343.80 = 164,986.80/x
  3. Step 3: Cross multiply
    198,229.20x = 297,343.80 × 164,986.80
  4. Step 4: Simplify right side
    198,229.20x = 49,057,802,061.84
  5. Step 5: Solve for x
    x = 49,057,802,061.84/198,229.20
  6. Step 6: Final answer
    x = 247,480.20

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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.