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Finding the Fourth Proportional to 143,372.67, 197,797.46 and 82,932.09

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Solution

The fourth proportional to 143,372.67, 197,797.46 and 82,932.09 is: 114,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,372.67 : 197,797.46 = 82,932.09 : x
  2. Step 2: Convert to fraction form
    143,372.67/197,797.46 = 82,932.09/x
  3. Step 3: Cross multiply
    143,372.67x = 197,797.46 × 82,932.09
  4. Step 4: Simplify right side
    143,372.67x = 16,403,756,339.83
  5. Step 5: Solve for x
    x = 16,403,756,339.83/143,372.67
  6. Step 6: Final answer
    x = 114,413.41

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Why These Related Problems?

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