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Finding the Fourth Proportional to 202,983.20, 304,474.80 and 53,223.20

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Solution

The fourth proportional to 202,983.20, 304,474.80 and 53,223.20 is: 79,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.20 : 304,474.80 = 53,223.20 : x
  2. Step 2: Convert to fraction form
    202,983.20/304,474.80 = 53,223.20/x
  3. Step 3: Cross multiply
    202,983.20x = 304,474.80 × 53,223.20
  4. Step 4: Simplify right side
    202,983.20x = 16,205,123,175.36
  5. Step 5: Solve for x
    x = 16,205,123,175.36/202,983.20
  6. Step 6: Final answer
    x = 79,834.80

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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.