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Finding the Fourth Proportional to 192,800.40, 289,027.80 and 171,805.20

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Solution

The fourth proportional to 192,800.40, 289,027.80 and 171,805.20 is: 257,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,800.40 : 289,027.80 = 171,805.20 : x
  2. Step 2: Convert to fraction form
    192,800.40/289,027.80 = 171,805.20/x
  3. Step 3: Cross multiply
    192,800.40x = 289,027.80 × 171,805.20
  4. Step 4: Simplify right side
    192,800.40x = 49,656,478,984.56
  5. Step 5: Solve for x
    x = 49,656,478,984.56/192,800.40
  6. Step 6: Final answer
    x = 257,553.82

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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.