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Finding the Fourth Proportional to 220,845, 304,772.60 and 120,249.48

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Solution

The fourth proportional to 220,845, 304,772.60 and 120,249.48 is: 165,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845 : 304,772.60 = 120,249.48 : x
  2. Step 2: Convert to fraction form
    220,845/304,772.60 = 120,249.48/x
  3. Step 3: Cross multiply
    220,845x = 304,772.60 × 120,249.48
  4. Step 4: Simplify right side
    220,845x = 36,648,746,668.25
  5. Step 5: Solve for x
    x = 36,648,746,668.25/220,845
  6. Step 6: Final answer
    x = 165,947.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.