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Finding the Fourth Proportional to 202,965.52, 304,449.57 and 53,204.50

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Solution

The fourth proportional to 202,965.52, 304,449.57 and 53,204.50 is: 79,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,965.52 : 304,449.57 = 53,204.50 : x
  2. Step 2: Convert to fraction form
    202,965.52/304,449.57 = 53,204.50/x
  3. Step 3: Cross multiply
    202,965.52x = 304,449.57 × 53,204.50
  4. Step 4: Simplify right side
    202,965.52x = 16,198,087,147.07
  5. Step 5: Solve for x
    x = 16,198,087,147.07/202,965.52
  6. Step 6: Final answer
    x = 79,807.09

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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.