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Finding the Fourth Proportional to 202,299.20, 282,694 and 202,299.20

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Solution

The fourth proportional to 202,299.20, 282,694 and 202,299.20 is: 282,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,299.20 : 282,694 = 202,299.20 : x
  2. Step 2: Convert to fraction form
    202,299.20/282,694 = 202,299.20/x
  3. Step 3: Cross multiply
    202,299.20x = 282,694 × 202,299.20
  4. Step 4: Simplify right side
    202,299.20x = 57,188,770,044.80
  5. Step 5: Solve for x
    x = 57,188,770,044.80/202,299.20
  6. Step 6: Final answer
    x = 282,694

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.