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Finding the Fourth Proportional to 269,402.66, 404,089.34 and 82,414.16

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Solution

The fourth proportional to 269,402.66, 404,089.34 and 82,414.16 is: 123,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,402.66 : 404,089.34 = 82,414.16 : x
  2. Step 2: Convert to fraction form
    269,402.66/404,089.34 = 82,414.16/x
  3. Step 3: Cross multiply
    269,402.66x = 404,089.34 × 82,414.16
  4. Step 4: Simplify right side
    269,402.66x = 33,302,681,088.54
  5. Step 5: Solve for x
    x = 33,302,681,088.54/269,402.66
  6. Step 6: Final answer
    x = 123,616.75

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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.