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Finding the Fourth Proportional to 269,822.40, 404,718.72 and 82,833.84

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Solution

The fourth proportional to 269,822.40, 404,718.72 and 82,833.84 is: 124,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,822.40 : 404,718.72 = 82,833.84 : x
  2. Step 2: Convert to fraction form
    269,822.40/404,718.72 = 82,833.84/x
  3. Step 3: Cross multiply
    269,822.40x = 404,718.72 × 82,833.84
  4. Step 4: Simplify right side
    269,822.40x = 33,524,405,697.48
  5. Step 5: Solve for x
    x = 33,524,405,697.48/269,822.40
  6. Step 6: Final answer
    x = 124,246.19

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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.