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Finding the Fourth Proportional to 230,399.50, 317,951.31 and 129,797.50

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Solution

The fourth proportional to 230,399.50, 317,951.31 and 129,797.50 is: 179,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,399.50 : 317,951.31 = 129,797.50 : x
  2. Step 2: Convert to fraction form
    230,399.50/317,951.31 = 129,797.50/x
  3. Step 3: Cross multiply
    230,399.50x = 317,951.31 × 129,797.50
  4. Step 4: Simplify right side
    230,399.50x = 41,269,285,159.73
  5. Step 5: Solve for x
    x = 41,269,285,159.73/230,399.50
  6. Step 6: Final answer
    x = 179,120.55

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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.