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Finding the Fourth Proportional to 202,161.24, 303,112.26 and 83,914.20

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Solution

The fourth proportional to 202,161.24, 303,112.26 and 83,914.20 is: 125,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161.24 : 303,112.26 = 83,914.20 : x
  2. Step 2: Convert to fraction form
    202,161.24/303,112.26 = 83,914.20/x
  3. Step 3: Cross multiply
    202,161.24x = 303,112.26 × 83,914.20
  4. Step 4: Simplify right side
    202,161.24x = 25,435,422,808.09
  5. Step 5: Solve for x
    x = 25,435,422,808.09/202,161.24
  6. Step 6: Final answer
    x = 125,817.50

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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.