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Finding the Fourth Proportional to 257,310.43, 385,966.57 and 182,203.38

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Solution

The fourth proportional to 257,310.43, 385,966.57 and 182,203.38 is: 273,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,310.43 : 385,966.57 = 182,203.38 : x
  2. Step 2: Convert to fraction form
    257,310.43/385,966.57 = 182,203.38/x
  3. Step 3: Cross multiply
    257,310.43x = 385,966.57 × 182,203.38
  4. Step 4: Simplify right side
    257,310.43x = 70,324,414,331.22
  5. Step 5: Solve for x
    x = 70,324,414,331.22/257,310.43
  6. Step 6: Final answer
    x = 273,305.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.