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Finding the Fourth Proportional to 275,855.22, 413,832.04 and 107,467.16

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Solution

The fourth proportional to 275,855.22, 413,832.04 and 107,467.16 is: 161,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,855.22 : 413,832.04 = 107,467.16 : x
  2. Step 2: Convert to fraction form
    275,855.22/413,832.04 = 107,467.16/x
  3. Step 3: Cross multiply
    275,855.22x = 413,832.04 × 107,467.16
  4. Step 4: Simplify right side
    275,855.22x = 44,473,351,717.98
  5. Step 5: Solve for x
    x = 44,473,351,717.98/275,855.22
  6. Step 6: Final answer
    x = 161,219.90

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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.