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Finding the Fourth Proportional to 204,076.80, 306,115.20 and 110,764.80

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Solution

The fourth proportional to 204,076.80, 306,115.20 and 110,764.80 is: 166,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,076.80 : 306,115.20 = 110,764.80 : x
  2. Step 2: Convert to fraction form
    204,076.80/306,115.20 = 110,764.80/x
  3. Step 3: Cross multiply
    204,076.80x = 306,115.20 × 110,764.80
  4. Step 4: Simplify right side
    204,076.80x = 33,906,788,904.96
  5. Step 5: Solve for x
    x = 33,906,788,904.96/204,076.80
  6. Step 6: Final answer
    x = 166,147.20

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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.