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Finding the Fourth Proportional to 202,422.96, 303,635.46 and 84,094.44

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Solution

The fourth proportional to 202,422.96, 303,635.46 and 84,094.44 is: 126,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422.96 : 303,635.46 = 84,094.44 : x
  2. Step 2: Convert to fraction form
    202,422.96/303,635.46 = 84,094.44/x
  3. Step 3: Cross multiply
    202,422.96x = 303,635.46 × 84,094.44
  4. Step 4: Simplify right side
    202,422.96x = 25,534,053,972.84
  5. Step 5: Solve for x
    x = 25,534,053,972.84/202,422.96
  6. Step 6: Final answer
    x = 126,142.08

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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.