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Finding the Fourth Proportional to 106,273.20, 159,496.20 and 102,817.20

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Solution

The fourth proportional to 106,273.20, 159,496.20 and 102,817.20 is: 154,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,273.20 : 159,496.20 = 102,817.20 : x
  2. Step 2: Convert to fraction form
    106,273.20/159,496.20 = 102,817.20/x
  3. Step 3: Cross multiply
    106,273.20x = 159,496.20 × 102,817.20
  4. Step 4: Simplify right side
    106,273.20x = 16,398,952,694.64
  5. Step 5: Solve for x
    x = 16,398,952,694.64/106,273.20
  6. Step 6: Final answer
    x = 154,309.39

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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.