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Finding the Fourth Proportional to 119,052.30, 164,286.96 and 65,338.20

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Solution

The fourth proportional to 119,052.30, 164,286.96 and 65,338.20 is: 90,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052.30 : 164,286.96 = 65,338.20 : x
  2. Step 2: Convert to fraction form
    119,052.30/164,286.96 = 65,338.20/x
  3. Step 3: Cross multiply
    119,052.30x = 164,286.96 × 65,338.20
  4. Step 4: Simplify right side
    119,052.30x = 10,734,214,249.87
  5. Step 5: Solve for x
    x = 10,734,214,249.87/119,052.30
  6. Step 6: Final answer
    x = 90,163.85

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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.