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Finding the Fourth Proportional to 269,817.18, 404,655.24 and 80,226.48

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Solution

The fourth proportional to 269,817.18, 404,655.24 and 80,226.48 is: 120,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,817.18 : 404,655.24 = 80,226.48 : x
  2. Step 2: Convert to fraction form
    269,817.18/404,655.24 = 80,226.48/x
  3. Step 3: Cross multiply
    269,817.18x = 404,655.24 × 80,226.48
  4. Step 4: Simplify right side
    269,817.18x = 32,464,067,337.06
  5. Step 5: Solve for x
    x = 32,464,067,337.06/269,817.18
  6. Step 6: Final answer
    x = 120,318.76

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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.