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Finding the Fourth Proportional to 165,682.60, 248,278.14 and 121,691.56

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Solution

The fourth proportional to 165,682.60, 248,278.14 and 121,691.56 is: 182,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,682.60 : 248,278.14 = 121,691.56 : x
  2. Step 2: Convert to fraction form
    165,682.60/248,278.14 = 121,691.56/x
  3. Step 3: Cross multiply
    165,682.60x = 248,278.14 × 121,691.56
  4. Step 4: Simplify right side
    165,682.60x = 30,213,354,170.50
  5. Step 5: Solve for x
    x = 30,213,354,170.50/165,682.60
  6. Step 6: Final answer
    x = 182,356.83

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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.