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Finding the Fourth Proportional to 381,682.10, 571,651.13 and 182,142.60

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Solution

The fourth proportional to 381,682.10, 571,651.13 and 182,142.60 is: 272,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,682.10 : 571,651.13 = 182,142.60 : x
  2. Step 2: Convert to fraction form
    381,682.10/571,651.13 = 182,142.60/x
  3. Step 3: Cross multiply
    381,682.10x = 571,651.13 × 182,142.60
  4. Step 4: Simplify right side
    381,682.10x = 104,122,022,200.43
  5. Step 5: Solve for x
    x = 104,122,022,200.43/381,682.10
  6. Step 6: Final answer
    x = 272,797.76

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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.