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Finding the Fourth Proportional to 202,084.80, 303,783.30 and 143,327.40

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Solution

The fourth proportional to 202,084.80, 303,783.30 and 143,327.40 is: 215,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084.80 : 303,783.30 = 143,327.40 : x
  2. Step 2: Convert to fraction form
    202,084.80/303,783.30 = 143,327.40/x
  3. Step 3: Cross multiply
    202,084.80x = 303,783.30 × 143,327.40
  4. Step 4: Simplify right side
    202,084.80x = 43,540,470,552.42
  5. Step 5: Solve for x
    x = 43,540,470,552.42/202,084.80
  6. Step 6: Final answer
    x = 215,456.43

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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.