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Finding the Fourth Proportional to 128,198.10, 192,297.29 and 33,428.20

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Solution

The fourth proportional to 128,198.10, 192,297.29 and 33,428.20 is: 50,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,198.10 : 192,297.29 = 33,428.20 : x
  2. Step 2: Convert to fraction form
    128,198.10/192,297.29 = 33,428.20/x
  3. Step 3: Cross multiply
    128,198.10x = 192,297.29 × 33,428.20
  4. Step 4: Simplify right side
    128,198.10x = 6,428,151,308.09
  5. Step 5: Solve for x
    x = 6,428,151,308.09/128,198.10
  6. Step 6: Final answer
    x = 50,142.33

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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.