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Finding the Fourth Proportional to 269,859.24, 404,718.12 and 80,268.48

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Solution

The fourth proportional to 269,859.24, 404,718.12 and 80,268.48 is: 120,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,859.24 : 404,718.12 = 80,268.48 : x
  2. Step 2: Convert to fraction form
    269,859.24/404,718.12 = 80,268.48/x
  3. Step 3: Cross multiply
    269,859.24x = 404,718.12 × 80,268.48
  4. Step 4: Simplify right side
    269,859.24x = 32,486,108,320.86
  5. Step 5: Solve for x
    x = 32,486,108,320.86/269,859.24
  6. Step 6: Final answer
    x = 120,381.68

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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.