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Finding the Fourth Proportional to 269,202.33, 403,788.92 and 82,199.25

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Solution

The fourth proportional to 269,202.33, 403,788.92 and 82,199.25 is: 123,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,202.33 : 403,788.92 = 82,199.25 : x
  2. Step 2: Convert to fraction form
    269,202.33/403,788.92 = 82,199.25/x
  3. Step 3: Cross multiply
    269,202.33x = 403,788.92 × 82,199.25
  4. Step 4: Simplify right side
    269,202.33x = 33,191,145,971.31
  5. Step 5: Solve for x
    x = 33,191,145,971.31/269,202.33
  6. Step 6: Final answer
    x = 123,294.42

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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.