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Finding the Fourth Proportional to 151,851.20, 227,776.80 and 109,860.80

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Solution

The fourth proportional to 151,851.20, 227,776.80 and 109,860.80 is: 164,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,851.20 : 227,776.80 = 109,860.80 : x
  2. Step 2: Convert to fraction form
    151,851.20/227,776.80 = 109,860.80/x
  3. Step 3: Cross multiply
    151,851.20x = 227,776.80 × 109,860.80
  4. Step 4: Simplify right side
    151,851.20x = 25,023,741,469.44
  5. Step 5: Solve for x
    x = 25,023,741,469.44/151,851.20
  6. Step 6: Final answer
    x = 164,791.20

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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.