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Finding the Fourth Proportional to 269,401.16, 404,087.09 and 82,412.66

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Solution

The fourth proportional to 269,401.16, 404,087.09 and 82,412.66 is: 123,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,401.16 : 404,087.09 = 82,412.66 : x
  2. Step 2: Convert to fraction form
    269,401.16/404,087.09 = 82,412.66/x
  3. Step 3: Cross multiply
    269,401.16x = 404,087.09 × 82,412.66
  4. Step 4: Simplify right side
    269,401.16x = 33,301,889,526.06
  5. Step 5: Solve for x
    x = 33,301,889,526.06/269,401.16
  6. Step 6: Final answer
    x = 123,614.50

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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.