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Finding the Fourth Proportional to 179,874.86, 269,765.31 and 53,481.07

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Solution

The fourth proportional to 179,874.86, 269,765.31 and 53,481.07 is: 80,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,874.86 : 269,765.31 = 53,481.07 : x
  2. Step 2: Convert to fraction form
    179,874.86/269,765.31 = 53,481.07/x
  3. Step 3: Cross multiply
    179,874.86x = 269,765.31 × 53,481.07
  4. Step 4: Simplify right side
    179,874.86x = 14,427,338,194.38
  5. Step 5: Solve for x
    x = 14,427,338,194.38/179,874.86
  6. Step 6: Final answer
    x = 80,207.64

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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.