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Finding the Fourth Proportional to 216,205.31, 298,350.79 and 120,718.05

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Solution

The fourth proportional to 216,205.31, 298,350.79 and 120,718.05 is: 166,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,205.31 : 298,350.79 = 120,718.05 : x
  2. Step 2: Convert to fraction form
    216,205.31/298,350.79 = 120,718.05/x
  3. Step 3: Cross multiply
    216,205.31x = 298,350.79 × 120,718.05
  4. Step 4: Simplify right side
    216,205.31x = 36,016,325,584.76
  5. Step 5: Solve for x
    x = 36,016,325,584.76/216,205.31
  6. Step 6: Final answer
    x = 166,583.91

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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.