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Finding the Fourth Proportional to 273,847.26, 410,766.44 and 105,404.17

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Solution

The fourth proportional to 273,847.26, 410,766.44 and 105,404.17 is: 158,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,847.26 : 410,766.44 = 105,404.17 : x
  2. Step 2: Convert to fraction form
    273,847.26/410,766.44 = 105,404.17/x
  3. Step 3: Cross multiply
    273,847.26x = 410,766.44 × 105,404.17
  4. Step 4: Simplify right side
    273,847.26x = 43,296,497,214.12
  5. Step 5: Solve for x
    x = 43,296,497,214.12/273,847.26
  6. Step 6: Final answer
    x = 158,104.55

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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.