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Finding the Fourth Proportional to 275,617.68, 413,193.24 and 109,314.96

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Solution

The fourth proportional to 275,617.68, 413,193.24 and 109,314.96 is: 163,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,617.68 : 413,193.24 = 109,314.96 : x
  2. Step 2: Convert to fraction form
    275,617.68/413,193.24 = 109,314.96/x
  3. Step 3: Cross multiply
    275,617.68x = 413,193.24 × 109,314.96
  4. Step 4: Simplify right side
    275,617.68x = 45,168,202,502.87
  5. Step 5: Solve for x
    x = 45,168,202,502.87/275,617.68
  6. Step 6: Final answer
    x = 163,879.92

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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.