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Finding the Fourth Proportional to 275,585.82, 413,375.07 and 133,443.81

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Solution

The fourth proportional to 275,585.82, 413,375.07 and 133,443.81 is: 200,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,585.82 : 413,375.07 = 133,443.81 : x
  2. Step 2: Convert to fraction form
    275,585.82/413,375.07 = 133,443.81/x
  3. Step 3: Cross multiply
    275,585.82x = 413,375.07 × 133,443.81
  4. Step 4: Simplify right side
    275,585.82x = 55,162,342,232.94
  5. Step 5: Solve for x
    x = 55,162,342,232.94/275,585.82
  6. Step 6: Final answer
    x = 200,163.94

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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.