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Finding the Fourth Proportional to 202,409.96, 303,614.30 and 54,665.96

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Solution

The fourth proportional to 202,409.96, 303,614.30 and 54,665.96 is: 81,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,409.96 : 303,614.30 = 54,665.96 : x
  2. Step 2: Convert to fraction form
    202,409.96/303,614.30 = 54,665.96/x
  3. Step 3: Cross multiply
    202,409.96x = 303,614.30 × 54,665.96
  4. Step 4: Simplify right side
    202,409.96x = 16,597,367,179.23
  5. Step 5: Solve for x
    x = 16,597,367,179.23/202,409.96
  6. Step 6: Final answer
    x = 81,998.77

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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.