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Finding the Fourth Proportional to 202,222.20, 303,398.10 and 135,737.40

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Solution

The fourth proportional to 202,222.20, 303,398.10 and 135,737.40 is: 203,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,222.20 : 303,398.10 = 135,737.40 : x
  2. Step 2: Convert to fraction form
    202,222.20/303,398.10 = 135,737.40/x
  3. Step 3: Cross multiply
    202,222.20x = 303,398.10 × 135,737.40
  4. Step 4: Simplify right side
    202,222.20x = 41,182,469,258.94
  5. Step 5: Solve for x
    x = 41,182,469,258.94/202,222.20
  6. Step 6: Final answer
    x = 203,649.60

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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.