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Finding the Fourth Proportional to 198,692.40, 297,844.20 and 80,205.60

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Solution

The fourth proportional to 198,692.40, 297,844.20 and 80,205.60 is: 120,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692.40 : 297,844.20 = 80,205.60 : x
  2. Step 2: Convert to fraction form
    198,692.40/297,844.20 = 80,205.60/x
  3. Step 3: Cross multiply
    198,692.40x = 297,844.20 × 80,205.60
  4. Step 4: Simplify right side
    198,692.40x = 23,888,772,767.52
  5. Step 5: Solve for x
    x = 23,888,772,767.52/198,692.40
  6. Step 6: Final answer
    x = 120,229.93

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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.