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Finding the Fourth Proportional to 189,394.14, 261,378.66 and 108,849.76

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Solution

The fourth proportional to 189,394.14, 261,378.66 and 108,849.76 is: 150,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,394.14 : 261,378.66 = 108,849.76 : x
  2. Step 2: Convert to fraction form
    189,394.14/261,378.66 = 108,849.76/x
  3. Step 3: Cross multiply
    189,394.14x = 261,378.66 × 108,849.76
  4. Step 4: Simplify right side
    189,394.14x = 28,451,004,410.12
  5. Step 5: Solve for x
    x = 28,451,004,410.12/189,394.14
  6. Step 6: Final answer
    x = 150,221.14

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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.