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Finding the Fourth Proportional to 269,029.20, 403,529.16 and 82,026

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Solution

The fourth proportional to 269,029.20, 403,529.16 and 82,026 is: 123,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,029.20 : 403,529.16 = 82,026 : x
  2. Step 2: Convert to fraction form
    269,029.20/403,529.16 = 82,026/x
  3. Step 3: Cross multiply
    269,029.20x = 403,529.16 × 82,026
  4. Step 4: Simplify right side
    269,029.20x = 33,099,882,878.16
  5. Step 5: Solve for x
    x = 33,099,882,878.16/269,029.20
  6. Step 6: Final answer
    x = 123,034.54

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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.