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Finding the Fourth Proportional to 198,121.60, 297,009.60 and 119,267.20

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Solution

The fourth proportional to 198,121.60, 297,009.60 and 119,267.20 is: 178,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,121.60 : 297,009.60 = 119,267.20 : x
  2. Step 2: Convert to fraction form
    198,121.60/297,009.60 = 119,267.20/x
  3. Step 3: Cross multiply
    198,121.60x = 297,009.60 × 119,267.20
  4. Step 4: Simplify right side
    198,121.60x = 35,423,503,365.12
  5. Step 5: Solve for x
    x = 35,423,503,365.12/198,121.60
  6. Step 6: Final answer
    x = 178,796.78

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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.