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Finding the Fourth Proportional to 198,475.20, 297,712.80 and 176,356.80

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Solution

The fourth proportional to 198,475.20, 297,712.80 and 176,356.80 is: 264,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,475.20 : 297,712.80 = 176,356.80 : x
  2. Step 2: Convert to fraction form
    198,475.20/297,712.80 = 176,356.80/x
  3. Step 3: Cross multiply
    198,475.20x = 297,712.80 × 176,356.80
  4. Step 4: Simplify right side
    198,475.20x = 52,503,676,727.04
  5. Step 5: Solve for x
    x = 52,503,676,727.04/198,475.20
  6. Step 6: Final answer
    x = 264,535.20

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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.