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Finding the Fourth Proportional to 189,538.38, 261,576.74 and 108,991.17

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Solution

The fourth proportional to 189,538.38, 261,576.74 and 108,991.17 is: 150,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,538.38 : 261,576.74 = 108,991.17 : x
  2. Step 2: Convert to fraction form
    189,538.38/261,576.74 = 108,991.17/x
  3. Step 3: Cross multiply
    189,538.38x = 261,576.74 × 108,991.17
  4. Step 4: Simplify right side
    189,538.38x = 28,509,555,209.86
  5. Step 5: Solve for x
    x = 28,509,555,209.86/189,538.38
  6. Step 6: Final answer
    x = 150,415.74

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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.