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Finding the Fourth Proportional to 275,712.10, 413,811.15 and 163,251.70

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Solution

The fourth proportional to 275,712.10, 413,811.15 and 163,251.70 is: 245,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,712.10 : 413,811.15 = 163,251.70 : x
  2. Step 2: Convert to fraction form
    275,712.10/413,811.15 = 163,251.70/x
  3. Step 3: Cross multiply
    275,712.10x = 413,811.15 × 163,251.70
  4. Step 4: Simplify right side
    275,712.10x = 67,555,373,716.46
  5. Step 5: Solve for x
    x = 67,555,373,716.46/275,712.10
  6. Step 6: Final answer
    x = 245,021.43

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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.