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Finding the Fourth Proportional to 198,418.20, 297,281.70 and 167,314.20

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Solution

The fourth proportional to 198,418.20, 297,281.70 and 167,314.20 is: 250,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,418.20 : 297,281.70 = 167,314.20 : x
  2. Step 2: Convert to fraction form
    198,418.20/297,281.70 = 167,314.20/x
  3. Step 3: Cross multiply
    198,418.20x = 297,281.70 × 167,314.20
  4. Step 4: Simplify right side
    198,418.20x = 49,739,449,810.14
  5. Step 5: Solve for x
    x = 49,739,449,810.14/198,418.20
  6. Step 6: Final answer
    x = 250,679.88

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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.