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Finding the Fourth Proportional to 221,152.14, 305,190.15 and 120,550.14

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Solution

The fourth proportional to 221,152.14, 305,190.15 and 120,550.14 is: 166,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,152.14 : 305,190.15 = 120,550.14 : x
  2. Step 2: Convert to fraction form
    221,152.14/305,190.15 = 120,550.14/x
  3. Step 3: Cross multiply
    221,152.14x = 305,190.15 × 120,550.14
  4. Step 4: Simplify right side
    221,152.14x = 36,790,715,309.12
  5. Step 5: Solve for x
    x = 36,790,715,309.12/221,152.14
  6. Step 6: Final answer
    x = 166,359.30

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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.