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Finding the Fourth Proportional to 274,077.41, 411,059.61 and 105,539.90

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Solution

The fourth proportional to 274,077.41, 411,059.61 and 105,539.90 is: 158,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,077.41 : 411,059.61 = 105,539.90 : x
  2. Step 2: Convert to fraction form
    274,077.41/411,059.61 = 105,539.90/x
  3. Step 3: Cross multiply
    274,077.41x = 411,059.61 × 105,539.90
  4. Step 4: Simplify right side
    274,077.41x = 43,383,188,078.14
  5. Step 5: Solve for x
    x = 43,383,188,078.14/274,077.41
  6. Step 6: Final answer
    x = 158,288.09

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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.