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Finding the Fourth Proportional to 269,105.30, 403,730.81 and 100,642.73

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Solution

The fourth proportional to 269,105.30, 403,730.81 and 100,642.73 is: 150,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,105.30 : 403,730.81 = 100,642.73 : x
  2. Step 2: Convert to fraction form
    269,105.30/403,730.81 = 100,642.73/x
  3. Step 3: Cross multiply
    269,105.30x = 403,730.81 × 100,642.73
  4. Step 4: Simplify right side
    269,105.30x = 40,632,568,381.64
  5. Step 5: Solve for x
    x = 40,632,568,381.64/269,105.30
  6. Step 6: Final answer
    x = 150,991.34

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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.