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Finding the Fourth Proportional to 202,965.02, 304,448.82 and 53,204

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Solution

The fourth proportional to 202,965.02, 304,448.82 and 53,204 is: 79,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,965.02 : 304,448.82 = 53,204 : x
  2. Step 2: Convert to fraction form
    202,965.02/304,448.82 = 53,204/x
  3. Step 3: Cross multiply
    202,965.02x = 304,448.82 × 53,204
  4. Step 4: Simplify right side
    202,965.02x = 16,197,895,019.28
  5. Step 5: Solve for x
    x = 16,197,895,019.28/202,965.02
  6. Step 6: Final answer
    x = 79,806.34

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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.