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Finding the Fourth Proportional to 128,198.85, 192,298.42 and 33,428.95

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Solution

The fourth proportional to 128,198.85, 192,298.42 and 33,428.95 is: 50,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,198.85 : 192,298.42 = 33,428.95 : x
  2. Step 2: Convert to fraction form
    128,198.85/192,298.42 = 33,428.95/x
  3. Step 3: Cross multiply
    128,198.85x = 192,298.42 × 33,428.95
  4. Step 4: Simplify right side
    128,198.85x = 6,428,333,138.62
  5. Step 5: Solve for x
    x = 6,428,333,138.62/128,198.85
  6. Step 6: Final answer
    x = 50,143.46

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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.