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Finding the Fourth Proportional to 234,197.07, 323,198.24 and 142,285.07

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Solution

The fourth proportional to 234,197.07, 323,198.24 and 142,285.07 is: 196,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,197.07 : 323,198.24 = 142,285.07 : x
  2. Step 2: Convert to fraction form
    234,197.07/323,198.24 = 142,285.07/x
  3. Step 3: Cross multiply
    234,197.07x = 323,198.24 × 142,285.07
  4. Step 4: Simplify right side
    234,197.07x = 45,986,284,202.28
  5. Step 5: Solve for x
    x = 45,986,284,202.28/234,197.07
  6. Step 6: Final answer
    x = 196,357.21

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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.