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Finding the Fourth Proportional to 269,089.36, 403,619 and 82,086.16

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Solution

The fourth proportional to 269,089.36, 403,619 and 82,086.16 is: 123,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,089.36 : 403,619 = 82,086.16 : x
  2. Step 2: Convert to fraction form
    269,089.36/403,619 = 82,086.16/x
  3. Step 3: Cross multiply
    269,089.36x = 403,619 × 82,086.16
  4. Step 4: Simplify right side
    269,089.36x = 33,131,533,813.04
  5. Step 5: Solve for x
    x = 33,131,533,813.04/269,089.36
  6. Step 6: Final answer
    x = 123,124.65

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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.