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Finding the Fourth Proportional to 194,234.76, 268,049 and 109,354.88

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Solution

The fourth proportional to 194,234.76, 268,049 and 109,354.88 is: 150,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,234.76 : 268,049 = 109,354.88 : x
  2. Step 2: Convert to fraction form
    194,234.76/268,049 = 109,354.88/x
  3. Step 3: Cross multiply
    194,234.76x = 268,049 × 109,354.88
  4. Step 4: Simplify right side
    194,234.76x = 29,312,466,229.12
  5. Step 5: Solve for x
    x = 29,312,466,229.12/194,234.76
  6. Step 6: Final answer
    x = 150,912.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.