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Finding the Fourth Proportional to 192,851.20, 289,276.80 and 82,028.80

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Solution

The fourth proportional to 192,851.20, 289,276.80 and 82,028.80 is: 123,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,851.20 : 289,276.80 = 82,028.80 : x
  2. Step 2: Convert to fraction form
    192,851.20/289,276.80 = 82,028.80/x
  3. Step 3: Cross multiply
    192,851.20x = 289,276.80 × 82,028.80
  4. Step 4: Simplify right side
    192,851.20x = 23,729,028,771.84
  5. Step 5: Solve for x
    x = 23,729,028,771.84/192,851.20
  6. Step 6: Final answer
    x = 123,043.20

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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.