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Finding the Fourth Proportional to 257,131.57, 354,723.74 and 166,516.74

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Solution

The fourth proportional to 257,131.57, 354,723.74 and 166,516.74 is: 229,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,131.57 : 354,723.74 = 166,516.74 : x
  2. Step 2: Convert to fraction form
    257,131.57/354,723.74 = 166,516.74/x
  3. Step 3: Cross multiply
    257,131.57x = 354,723.74 × 166,516.74
  4. Step 4: Simplify right side
    257,131.57x = 59,067,438,179.21
  5. Step 5: Solve for x
    x = 59,067,438,179.21/257,131.57
  6. Step 6: Final answer
    x = 229,716.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.