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Finding the Fourth Proportional to 202,662.06, 303,967.17 and 84,311.34

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Solution

The fourth proportional to 202,662.06, 303,967.17 and 84,311.34 is: 126,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,662.06 : 303,967.17 = 84,311.34 : x
  2. Step 2: Convert to fraction form
    202,662.06/303,967.17 = 84,311.34/x
  3. Step 3: Cross multiply
    202,662.06x = 303,967.17 × 84,311.34
  4. Step 4: Simplify right side
    202,662.06x = 25,627,879,418.71
  5. Step 5: Solve for x
    x = 25,627,879,418.71/202,662.06
  6. Step 6: Final answer
    x = 126,456.23

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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.