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Finding the Fourth Proportional to 257,074.25, 354,571.31 and 166,360.23

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Solution

The fourth proportional to 257,074.25, 354,571.31 and 166,360.23 is: 229,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,074.25 : 354,571.31 = 166,360.23 : x
  2. Step 2: Convert to fraction form
    257,074.25/354,571.31 = 166,360.23/x
  3. Step 3: Cross multiply
    257,074.25x = 354,571.31 × 166,360.23
  4. Step 4: Simplify right side
    257,074.25x = 58,986,565,098.90
  5. Step 5: Solve for x
    x = 58,986,565,098.90/257,074.25
  6. Step 6: Final answer
    x = 229,453.42

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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.