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Finding the Fourth Proportional to 196,481.76, 271,144.83 and 107,057.76

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Solution

The fourth proportional to 196,481.76, 271,144.83 and 107,057.76 is: 147,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,481.76 : 271,144.83 = 107,057.76 : x
  2. Step 2: Convert to fraction form
    196,481.76/271,144.83 = 107,057.76/x
  3. Step 3: Cross multiply
    196,481.76x = 271,144.83 × 107,057.76
  4. Step 4: Simplify right side
    196,481.76x = 29,028,158,135.38
  5. Step 5: Solve for x
    x = 29,028,158,135.38/196,481.76
  6. Step 6: Final answer
    x = 147,739.71

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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.