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Finding the Fourth Proportional to 269,872.77, 404,738.49 and 80,282.07

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Solution

The fourth proportional to 269,872.77, 404,738.49 and 80,282.07 is: 120,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,872.77 : 404,738.49 = 80,282.07 : x
  2. Step 2: Convert to fraction form
    269,872.77/404,738.49 = 80,282.07/x
  3. Step 3: Cross multiply
    269,872.77x = 404,738.49 × 80,282.07
  4. Step 4: Simplify right side
    269,872.77x = 32,493,243,785.87
  5. Step 5: Solve for x
    x = 32,493,243,785.87/269,872.77
  6. Step 6: Final answer
    x = 120,402.08

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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.