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Finding the Fourth Proportional to 100,347.69, 150,299.46 and 41,003.31

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Solution

The fourth proportional to 100,347.69, 150,299.46 and 41,003.31 is: 61,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,347.69 : 150,299.46 = 41,003.31 : x
  2. Step 2: Convert to fraction form
    100,347.69/150,299.46 = 41,003.31/x
  3. Step 3: Cross multiply
    100,347.69x = 150,299.46 × 41,003.31
  4. Step 4: Simplify right side
    100,347.69x = 6,162,775,351.21
  5. Step 5: Solve for x
    x = 6,162,775,351.21/100,347.69
  6. Step 6: Final answer
    x = 61,414.22

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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.