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Finding the Fourth Proportional to 189,729.14, 261,836.29 and 109,168.90

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Solution

The fourth proportional to 189,729.14, 261,836.29 and 109,168.90 is: 150,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,729.14 : 261,836.29 = 109,168.90 : x
  2. Step 2: Convert to fraction form
    189,729.14/261,836.29 = 109,168.90/x
  3. Step 3: Cross multiply
    189,729.14x = 261,836.29 × 109,168.90
  4. Step 4: Simplify right side
    189,729.14x = 28,584,379,759.38
  5. Step 5: Solve for x
    x = 28,584,379,759.38/189,729.14
  6. Step 6: Final answer
    x = 150,658.88

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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.