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Finding the Fourth Proportional to 216,078.50, 298,205.21 and 120,599.55

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Solution

The fourth proportional to 216,078.50, 298,205.21 and 120,599.55 is: 166,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,078.50 : 298,205.21 = 120,599.55 : x
  2. Step 2: Convert to fraction form
    216,078.50/298,205.21 = 120,599.55/x
  3. Step 3: Cross multiply
    216,078.50x = 298,205.21 × 120,599.55
  4. Step 4: Simplify right side
    216,078.50x = 35,963,414,435.15
  5. Step 5: Solve for x
    x = 35,963,414,435.15/216,078.50
  6. Step 6: Final answer
    x = 166,436.80

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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.