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Finding the Fourth Proportional to 269,393, 404,105.70 and 82,406.12

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Solution

The fourth proportional to 269,393, 404,105.70 and 82,406.12 is: 123,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,393 : 404,105.70 = 82,406.12 : x
  2. Step 2: Convert to fraction form
    269,393/404,105.70 = 82,406.12/x
  3. Step 3: Cross multiply
    269,393x = 404,105.70 × 82,406.12
  4. Step 4: Simplify right side
    269,393x = 33,300,782,806.88
  5. Step 5: Solve for x
    x = 33,300,782,806.88/269,393
  6. Step 6: Final answer
    x = 123,614.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.