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Finding the Fourth Proportional to 196,691.29, 271,420 and 116,114.65

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Solution

The fourth proportional to 196,691.29, 271,420 and 116,114.65 is: 160,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,691.29 : 271,420 = 116,114.65 : x
  2. Step 2: Convert to fraction form
    196,691.29/271,420 = 116,114.65/x
  3. Step 3: Cross multiply
    196,691.29x = 271,420 × 116,114.65
  4. Step 4: Simplify right side
    196,691.29x = 31,515,838,303
  5. Step 5: Solve for x
    x = 31,515,838,303/196,691.29
  6. Step 6: Final answer
    x = 160,229.96

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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.