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Finding the Fourth Proportional to 221,604.75, 305,815.38 and 121,002.75

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Solution

The fourth proportional to 221,604.75, 305,815.38 and 121,002.75 is: 166,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,604.75 : 305,815.38 = 121,002.75 : x
  2. Step 2: Convert to fraction form
    221,604.75/305,815.38 = 121,002.75/x
  3. Step 3: Cross multiply
    221,604.75x = 305,815.38 × 121,002.75
  4. Step 4: Simplify right side
    221,604.75x = 37,004,501,972.30
  5. Step 5: Solve for x
    x = 37,004,501,972.30/221,604.75
  6. Step 6: Final answer
    x = 166,984.25

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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.