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Finding the Fourth Proportional to 234,134, 323,107.20 and 126,706.26

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Solution

The fourth proportional to 234,134, 323,107.20 and 126,706.26 is: 174,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,134 : 323,107.20 = 126,706.26 : x
  2. Step 2: Convert to fraction form
    234,134/323,107.20 = 126,706.26/x
  3. Step 3: Cross multiply
    234,134x = 323,107.20 × 126,706.26
  4. Step 4: Simplify right side
    234,134x = 40,939,704,891.07
  5. Step 5: Solve for x
    x = 40,939,704,891.07/234,134
  6. Step 6: Final answer
    x = 174,855.87

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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.