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Finding the Fourth Proportional to 185,917, 278,825.64 and 80,710.96

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Solution

The fourth proportional to 185,917, 278,825.64 and 80,710.96 is: 121,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,917 : 278,825.64 = 80,710.96 : x
  2. Step 2: Convert to fraction form
    185,917/278,825.64 = 80,710.96/x
  3. Step 3: Cross multiply
    185,917x = 278,825.64 × 80,710.96
  4. Step 4: Simplify right side
    185,917x = 22,504,285,077.01
  5. Step 5: Solve for x
    x = 22,504,285,077.01/185,917
  6. Step 6: Final answer
    x = 121,044.79

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