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Finding the Fourth Proportional to 269,205.84, 403,794.16 and 82,202.72

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Solution

The fourth proportional to 269,205.84, 403,794.16 and 82,202.72 is: 123,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,205.84 : 403,794.16 = 82,202.72 : x
  2. Step 2: Convert to fraction form
    269,205.84/403,794.16 = 82,202.72/x
  3. Step 3: Cross multiply
    269,205.84x = 403,794.16 × 82,202.72
  4. Step 4: Simplify right side
    269,205.84x = 33,192,978,272.12
  5. Step 5: Solve for x
    x = 33,192,978,272.12/269,205.84
  6. Step 6: Final answer
    x = 123,299.62

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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.