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Finding the Fourth Proportional to 198,415.20, 297,277.20 and 167,311.20

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Solution

The fourth proportional to 198,415.20, 297,277.20 and 167,311.20 is: 250,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,415.20 : 297,277.20 = 167,311.20 : x
  2. Step 2: Convert to fraction form
    198,415.20/297,277.20 = 167,311.20/x
  3. Step 3: Cross multiply
    198,415.20x = 297,277.20 × 167,311.20
  4. Step 4: Simplify right side
    198,415.20x = 49,737,805,064.64
  5. Step 5: Solve for x
    x = 49,737,805,064.64/198,415.20
  6. Step 6: Final answer
    x = 250,675.38

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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.