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Finding the Fourth Proportional to 189,891.30, 262,082.22 and 109,365.44

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Solution

The fourth proportional to 189,891.30, 262,082.22 and 109,365.44 is: 150,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891.30 : 262,082.22 = 109,365.44 : x
  2. Step 2: Convert to fraction form
    189,891.30/262,082.22 = 109,365.44/x
  3. Step 3: Cross multiply
    189,891.30x = 262,082.22 × 109,365.44
  4. Step 4: Simplify right side
    189,891.30x = 28,662,738,042.97
  5. Step 5: Solve for x
    x = 28,662,738,042.97/189,891.30
  6. Step 6: Final answer
    x = 150,942.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.