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Finding the Fourth Proportional to 189,942.84, 262,120.62 and 109,341

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Solution

The fourth proportional to 189,942.84, 262,120.62 and 109,341 is: 150,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,942.84 : 262,120.62 = 109,341 : x
  2. Step 2: Convert to fraction form
    189,942.84/262,120.62 = 109,341/x
  3. Step 3: Cross multiply
    189,942.84x = 262,120.62 × 109,341
  4. Step 4: Simplify right side
    189,942.84x = 28,660,530,711.42
  5. Step 5: Solve for x
    x = 28,660,530,711.42/189,942.84
  6. Step 6: Final answer
    x = 150,890.29

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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.