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Finding the Fourth Proportional to 100,618.26, 150,996.71 and 41,454.01

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Solution

The fourth proportional to 100,618.26, 150,996.71 and 41,454.01 is: 62,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,618.26 : 150,996.71 = 41,454.01 : x
  2. Step 2: Convert to fraction form
    100,618.26/150,996.71 = 41,454.01/x
  3. Step 3: Cross multiply
    100,618.26x = 150,996.71 × 41,454.01
  4. Step 4: Simplify right side
    100,618.26x = 6,259,419,126.31
  5. Step 5: Solve for x
    x = 6,259,419,126.31/100,618.26
  6. Step 6: Final answer
    x = 62,209.57

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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.