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Finding the Fourth Proportional to 216,452.93, 298,704.17 and 120,959.60

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Solution

The fourth proportional to 216,452.93, 298,704.17 and 120,959.60 is: 166,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,452.93 : 298,704.17 = 120,959.60 : x
  2. Step 2: Convert to fraction form
    216,452.93/298,704.17 = 120,959.60/x
  3. Step 3: Cross multiply
    216,452.93x = 298,704.17 × 120,959.60
  4. Step 4: Simplify right side
    216,452.93x = 36,131,135,730.41
  5. Step 5: Solve for x
    x = 36,131,135,730.41/216,452.93
  6. Step 6: Final answer
    x = 166,923.76

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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.