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Finding the Fourth Proportional to 274,027.26, 410,791.78 and 105,440.06

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Solution

The fourth proportional to 274,027.26, 410,791.78 and 105,440.06 is: 158,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,027.26 : 410,791.78 = 105,440.06 : x
  2. Step 2: Convert to fraction form
    274,027.26/410,791.78 = 105,440.06/x
  3. Step 3: Cross multiply
    274,027.26x = 410,791.78 × 105,440.06
  4. Step 4: Simplify right side
    274,027.26x = 43,313,909,930.71
  5. Step 5: Solve for x
    x = 43,313,909,930.71/274,027.26
  6. Step 6: Final answer
    x = 158,064.24

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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.