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Finding the Fourth Proportional to 202,372.80, 303,559.20 and 197,188.80

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Solution

The fourth proportional to 202,372.80, 303,559.20 and 197,188.80 is: 295,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,372.80 : 303,559.20 = 197,188.80 : x
  2. Step 2: Convert to fraction form
    202,372.80/303,559.20 = 197,188.80/x
  3. Step 3: Cross multiply
    202,372.80x = 303,559.20 × 197,188.80
  4. Step 4: Simplify right side
    202,372.80x = 59,858,474,376.96
  5. Step 5: Solve for x
    x = 59,858,474,376.96/202,372.80
  6. Step 6: Final answer
    x = 295,783.20

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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.