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Finding the Fourth Proportional to 198,882.82, 298,324.23 and 163,748.65

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Solution

The fourth proportional to 198,882.82, 298,324.23 and 163,748.65 is: 245,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,882.82 : 298,324.23 = 163,748.65 : x
  2. Step 2: Convert to fraction form
    198,882.82/298,324.23 = 163,748.65/x
  3. Step 3: Cross multiply
    198,882.82x = 298,324.23 × 163,748.65
  4. Step 4: Simplify right side
    198,882.82x = 48,850,189,924.79
  5. Step 5: Solve for x
    x = 48,850,189,924.79/198,882.82
  6. Step 6: Final answer
    x = 245,622.98

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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.