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Finding the Fourth Proportional to 208,841.70, 313,043.85 and 82,433.10

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Solution

The fourth proportional to 208,841.70, 313,043.85 and 82,433.10 is: 123,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.70 : 313,043.85 = 82,433.10 : x
  2. Step 2: Convert to fraction form
    208,841.70/313,043.85 = 82,433.10/x
  3. Step 3: Cross multiply
    208,841.70x = 313,043.85 × 82,433.10
  4. Step 4: Simplify right side
    208,841.70x = 25,805,174,991.44
  5. Step 5: Solve for x
    x = 25,805,174,991.44/208,841.70
  6. Step 6: Final answer
    x = 123,563.33

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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.