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Finding the Fourth Proportional to 159,198.36, 219,542.96 and 101,855.83

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Solution

The fourth proportional to 159,198.36, 219,542.96 and 101,855.83 is: 140,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198.36 : 219,542.96 = 101,855.83 : x
  2. Step 2: Convert to fraction form
    159,198.36/219,542.96 = 101,855.83/x
  3. Step 3: Cross multiply
    159,198.36x = 219,542.96 × 101,855.83
  4. Step 4: Simplify right side
    159,198.36x = 22,361,729,902.18
  5. Step 5: Solve for x
    x = 22,361,729,902.18/159,198.36
  6. Step 6: Final answer
    x = 140,464.57

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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.