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Finding the Fourth Proportional to 273,748.50, 410,623.77 and 84,207.60

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Solution

The fourth proportional to 273,748.50, 410,623.77 and 84,207.60 is: 126,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,748.50 : 410,623.77 = 84,207.60 : x
  2. Step 2: Convert to fraction form
    273,748.50/410,623.77 = 84,207.60/x
  3. Step 3: Cross multiply
    273,748.50x = 410,623.77 × 84,207.60
  4. Step 4: Simplify right side
    273,748.50x = 34,577,642,174.65
  5. Step 5: Solve for x
    x = 34,577,642,174.65/273,748.50
  6. Step 6: Final answer
    x = 126,311.71

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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.