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Finding the Fourth Proportional to 196,397.97, 271,054.49 and 119,901.03

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Solution

The fourth proportional to 196,397.97, 271,054.49 and 119,901.03 is: 165,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,397.97 : 271,054.49 = 119,901.03 : x
  2. Step 2: Convert to fraction form
    196,397.97/271,054.49 = 119,901.03/x
  3. Step 3: Cross multiply
    196,397.97x = 271,054.49 × 119,901.03
  4. Step 4: Simplify right side
    196,397.97x = 32,499,711,937.62
  5. Step 5: Solve for x
    x = 32,499,711,937.62/196,397.97
  6. Step 6: Final answer
    x = 165,478.86

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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.