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Finding the Fourth Proportional to 196,650.72, 271,401.30 and 111,780.54

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Solution

The fourth proportional to 196,650.72, 271,401.30 and 111,780.54 is: 154,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,650.72 : 271,401.30 = 111,780.54 : x
  2. Step 2: Convert to fraction form
    196,650.72/271,401.30 = 111,780.54/x
  3. Step 3: Cross multiply
    196,650.72x = 271,401.30 × 111,780.54
  4. Step 4: Simplify right side
    196,650.72x = 30,337,383,870.70
  5. Step 5: Solve for x
    x = 30,337,383,870.70/196,650.72
  6. Step 6: Final answer
    x = 154,270.39

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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.