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Finding the Fourth Proportional to 193,691.25, 290,553.60 and 53,449.86

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Solution

The fourth proportional to 193,691.25, 290,553.60 and 53,449.86 is: 80,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,691.25 : 290,553.60 = 53,449.86 : x
  2. Step 2: Convert to fraction form
    193,691.25/290,553.60 = 53,449.86/x
  3. Step 3: Cross multiply
    193,691.25x = 290,553.60 × 53,449.86
  4. Step 4: Simplify right side
    193,691.25x = 15,530,049,242.50
  5. Step 5: Solve for x
    x = 15,530,049,242.50/193,691.25
  6. Step 6: Final answer
    x = 80,179.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.