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Finding the Fourth Proportional to 198,122.34, 297,257.49 and 79,827.24

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Solution

The fourth proportional to 198,122.34, 297,257.49 and 79,827.24 is: 119,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,122.34 : 297,257.49 = 79,827.24 : x
  2. Step 2: Convert to fraction form
    198,122.34/297,257.49 = 79,827.24/x
  3. Step 3: Cross multiply
    198,122.34x = 297,257.49 × 79,827.24
  4. Step 4: Simplify right side
    198,122.34x = 23,729,244,996.03
  5. Step 5: Solve for x
    x = 23,729,244,996.03/198,122.34
  6. Step 6: Final answer
    x = 119,770.67

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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.