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Finding the Fourth Proportional to 202,553.80, 303,830.70 and 54,809.80

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Solution

The fourth proportional to 202,553.80, 303,830.70 and 54,809.80 is: 82,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,553.80 : 303,830.70 = 54,809.80 : x
  2. Step 2: Convert to fraction form
    202,553.80/303,830.70 = 54,809.80/x
  3. Step 3: Cross multiply
    202,553.80x = 303,830.70 × 54,809.80
  4. Step 4: Simplify right side
    202,553.80x = 16,652,899,900.86
  5. Step 5: Solve for x
    x = 16,652,899,900.86/202,553.80
  6. Step 6: Final answer
    x = 82,214.70

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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.