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Finding the Fourth Proportional to 275,859, 413,888.22 and 135,716.04

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Solution

The fourth proportional to 275,859, 413,888.22 and 135,716.04 is: 203,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,859 : 413,888.22 = 135,716.04 : x
  2. Step 2: Convert to fraction form
    275,859/413,888.22 = 135,716.04/x
  3. Step 3: Cross multiply
    275,859x = 413,888.22 × 135,716.04
  4. Step 4: Simplify right side
    275,859x = 56,171,270,221.05
  5. Step 5: Solve for x
    x = 56,171,270,221.05/275,859
  6. Step 6: Final answer
    x = 203,623.12

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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.