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Finding the Fourth Proportional to 100,651.41, 150,917.99 and 41,416.11

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Solution

The fourth proportional to 100,651.41, 150,917.99 and 41,416.11 is: 62,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.41 : 150,917.99 = 41,416.11 : x
  2. Step 2: Convert to fraction form
    100,651.41/150,917.99 = 41,416.11/x
  3. Step 3: Cross multiply
    100,651.41x = 150,917.99 × 41,416.11
  4. Step 4: Simplify right side
    100,651.41x = 6,250,435,867.74
  5. Step 5: Solve for x
    x = 6,250,435,867.74/100,651.41
  6. Step 6: Final answer
    x = 62,099.83

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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.