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Finding the Fourth Proportional to 202,978.75, 304,469.40 and 53,217.70

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Solution

The fourth proportional to 202,978.75, 304,469.40 and 53,217.70 is: 79,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.75 : 304,469.40 = 53,217.70 : x
  2. Step 2: Convert to fraction form
    202,978.75/304,469.40 = 53,217.70/x
  3. Step 3: Cross multiply
    202,978.75x = 304,469.40 × 53,217.70
  4. Step 4: Simplify right side
    202,978.75x = 16,203,161,188.38
  5. Step 5: Solve for x
    x = 16,203,161,188.38/202,978.75
  6. Step 6: Final answer
    x = 79,826.88

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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.