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Finding the Fourth Proportional to 273,751.65, 410,704.28 and 133,514.85

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Solution

The fourth proportional to 273,751.65, 410,704.28 and 133,514.85 is: 200,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,751.65 : 410,704.28 = 133,514.85 : x
  2. Step 2: Convert to fraction form
    273,751.65/410,704.28 = 133,514.85/x
  3. Step 3: Cross multiply
    273,751.65x = 410,704.28 × 133,514.85
  4. Step 4: Simplify right side
    273,751.65x = 54,835,119,670.98
  5. Step 5: Solve for x
    x = 54,835,119,670.98/273,751.65
  6. Step 6: Final answer
    x = 200,309.73

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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.