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Finding the Fourth Proportional to 202,422.66, 303,469.93 and 84,182.51

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Solution

The fourth proportional to 202,422.66, 303,469.93 and 84,182.51 is: 126,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422.66 : 303,469.93 = 84,182.51 : x
  2. Step 2: Convert to fraction form
    202,422.66/303,469.93 = 84,182.51/x
  3. Step 3: Cross multiply
    202,422.66x = 303,469.93 × 84,182.51
  4. Step 4: Simplify right side
    202,422.66x = 25,546,858,689.12
  5. Step 5: Solve for x
    x = 25,546,858,689.12/202,422.66
  6. Step 6: Final answer
    x = 126,205.53

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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.