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Finding the Fourth Proportional to 143,198.34, 197,591.74 and 82,757.31

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Solution

The fourth proportional to 143,198.34, 197,591.74 and 82,757.31 is: 114,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,198.34 : 197,591.74 = 82,757.31 : x
  2. Step 2: Convert to fraction form
    143,198.34/197,591.74 = 82,757.31/x
  3. Step 3: Cross multiply
    143,198.34x = 197,591.74 × 82,757.31
  4. Step 4: Simplify right side
    143,198.34x = 16,352,160,880.62
  5. Step 5: Solve for x
    x = 16,352,160,880.62/143,198.34
  6. Step 6: Final answer
    x = 114,192.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.