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Finding the Fourth Proportional to 196,479, 271,141.02 and 107,055

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Solution

The fourth proportional to 196,479, 271,141.02 and 107,055 is: 147,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,479 : 271,141.02 = 107,055 : x
  2. Step 2: Convert to fraction form
    196,479/271,141.02 = 107,055/x
  3. Step 3: Cross multiply
    196,479x = 271,141.02 × 107,055
  4. Step 4: Simplify right side
    196,479x = 29,027,001,896.10
  5. Step 5: Solve for x
    x = 29,027,001,896.10/196,479
  6. Step 6: Final answer
    x = 147,735.90

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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.