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Finding the Fourth Proportional to 198,630.70, 297,946.05 and 176,857.90

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Solution

The fourth proportional to 198,630.70, 297,946.05 and 176,857.90 is: 265,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,630.70 : 297,946.05 = 176,857.90 : x
  2. Step 2: Convert to fraction form
    198,630.70/297,946.05 = 176,857.90/x
  3. Step 3: Cross multiply
    198,630.70x = 297,946.05 × 176,857.90
  4. Step 4: Simplify right side
    198,630.70x = 52,694,112,716.30
  5. Step 5: Solve for x
    x = 52,694,112,716.30/198,630.70
  6. Step 6: Final answer
    x = 265,286.85

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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.