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Finding the Fourth Proportional to 196,524.38, 271,170.50 and 110,472

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Solution

The fourth proportional to 196,524.38, 271,170.50 and 110,472 is: 152,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524.38 : 271,170.50 = 110,472 : x
  2. Step 2: Convert to fraction form
    196,524.38/271,170.50 = 110,472/x
  3. Step 3: Cross multiply
    196,524.38x = 271,170.50 × 110,472
  4. Step 4: Simplify right side
    196,524.38x = 29,956,747,476
  5. Step 5: Solve for x
    x = 29,956,747,476/196,524.38
  6. Step 6: Final answer
    x = 152,432.73

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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.