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Finding the Fourth Proportional to 196,645.87, 271,638.43 and 154,161.73

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Solution

The fourth proportional to 196,645.87, 271,638.43 and 154,161.73 is: 212,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,645.87 : 271,638.43 = 154,161.73 : x
  2. Step 2: Convert to fraction form
    196,645.87/271,638.43 = 154,161.73/x
  3. Step 3: Cross multiply
    196,645.87x = 271,638.43 × 154,161.73
  4. Step 4: Simplify right side
    196,645.87x = 41,876,250,982.38
  5. Step 5: Solve for x
    x = 41,876,250,982.38/196,645.87
  6. Step 6: Final answer
    x = 212,952.61

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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.