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Finding the Fourth Proportional to 221,033.02, 305,025.60 and 120,431.02

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Solution

The fourth proportional to 221,033.02, 305,025.60 and 120,431.02 is: 166,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,033.02 : 305,025.60 = 120,431.02 : x
  2. Step 2: Convert to fraction form
    221,033.02/305,025.60 = 120,431.02/x
  3. Step 3: Cross multiply
    221,033.02x = 305,025.60 × 120,431.02
  4. Step 4: Simplify right side
    221,033.02x = 36,734,544,134.11
  5. Step 5: Solve for x
    x = 36,734,544,134.11/221,033.02
  6. Step 6: Final answer
    x = 166,194.83

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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.