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Finding the Fourth Proportional to 230,257.14, 317,778.21 and 128,299.20

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Solution

The fourth proportional to 230,257.14, 317,778.21 and 128,299.20 is: 177,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,257.14 : 317,778.21 = 128,299.20 : x
  2. Step 2: Convert to fraction form
    230,257.14/317,778.21 = 128,299.20/x
  3. Step 3: Cross multiply
    230,257.14x = 317,778.21 × 128,299.20
  4. Step 4: Simplify right side
    230,257.14x = 40,770,690,120.43
  5. Step 5: Solve for x
    x = 40,770,690,120.43/230,257.14
  6. Step 6: Final answer
    x = 177,065.91

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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.