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Finding the Fourth Proportional to 273,976.56, 410,771.66 and 105,355.22

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Solution

The fourth proportional to 273,976.56, 410,771.66 and 105,355.22 is: 157,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,976.56 : 410,771.66 = 105,355.22 : x
  2. Step 2: Convert to fraction form
    273,976.56/410,771.66 = 105,355.22/x
  3. Step 3: Cross multiply
    273,976.56x = 410,771.66 × 105,355.22
  4. Step 4: Simplify right side
    273,976.56x = 43,276,936,028.43
  5. Step 5: Solve for x
    x = 43,276,936,028.43/273,976.56
  6. Step 6: Final answer
    x = 157,958.53

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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.