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Finding the Fourth Proportional to 202,410.96, 303,615.80 and 54,666.96

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Solution

The fourth proportional to 202,410.96, 303,615.80 and 54,666.96 is: 82,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,410.96 : 303,615.80 = 54,666.96 : x
  2. Step 2: Convert to fraction form
    202,410.96/303,615.80 = 54,666.96/x
  3. Step 3: Cross multiply
    202,410.96x = 303,615.80 × 54,666.96
  4. Step 4: Simplify right side
    202,410.96x = 16,597,752,793.97
  5. Step 5: Solve for x
    x = 16,597,752,793.97/202,410.96
  6. Step 6: Final answer
    x = 82,000.27

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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.