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Finding the Fourth Proportional to 273,855, 410,834.34 and 126,111

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Solution

The fourth proportional to 273,855, 410,834.34 and 126,111 is: 189,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,855 : 410,834.34 = 126,111 : x
  2. Step 2: Convert to fraction form
    273,855/410,834.34 = 126,111/x
  3. Step 3: Cross multiply
    273,855x = 410,834.34 × 126,111
  4. Step 4: Simplify right side
    273,855x = 51,810,729,451.74
  5. Step 5: Solve for x
    x = 51,810,729,451.74/273,855
  6. Step 6: Final answer
    x = 189,190.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.