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Finding the Fourth Proportional to 202,241.74, 303,233.01 and 83,994.70

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Solution

The fourth proportional to 202,241.74, 303,233.01 and 83,994.70 is: 125,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,241.74 : 303,233.01 = 83,994.70 : x
  2. Step 2: Convert to fraction form
    202,241.74/303,233.01 = 83,994.70/x
  3. Step 3: Cross multiply
    202,241.74x = 303,233.01 × 83,994.70
  4. Step 4: Simplify right side
    202,241.74x = 25,469,965,705.05
  5. Step 5: Solve for x
    x = 25,469,965,705.05/202,241.74
  6. Step 6: Final answer
    x = 125,938.22

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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.