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Finding the Fourth Proportional to 234,134.11, 323,105.89 and 126,704.11

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Solution

The fourth proportional to 234,134.11, 323,105.89 and 126,704.11 is: 174,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,134.11 : 323,105.89 = 126,704.11 : x
  2. Step 2: Convert to fraction form
    234,134.11/323,105.89 = 126,704.11/x
  3. Step 3: Cross multiply
    234,134.11x = 323,105.89 × 126,704.11
  4. Step 4: Simplify right side
    234,134.11x = 40,938,844,228.21
  5. Step 5: Solve for x
    x = 40,938,844,228.21/234,134.11
  6. Step 6: Final answer
    x = 174,852.11

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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.