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Finding the Fourth Proportional to 216,383.81, 298,604.16 and 120,891.23

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Solution

The fourth proportional to 216,383.81, 298,604.16 and 120,891.23 is: 166,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,383.81 : 298,604.16 = 120,891.23 : x
  2. Step 2: Convert to fraction form
    216,383.81/298,604.16 = 120,891.23/x
  3. Step 3: Cross multiply
    216,383.81x = 298,604.16 × 120,891.23
  4. Step 4: Simplify right side
    216,383.81x = 36,098,622,692.50
  5. Step 5: Solve for x
    x = 36,098,622,692.50/216,383.81
  6. Step 6: Final answer
    x = 166,826.82

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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.