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Finding the Fourth Proportional to 102,849.20, 154,273.80 and 36,288.80

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Solution

The fourth proportional to 102,849.20, 154,273.80 and 36,288.80 is: 54,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,849.20 : 154,273.80 = 36,288.80 : x
  2. Step 2: Convert to fraction form
    102,849.20/154,273.80 = 36,288.80/x
  3. Step 3: Cross multiply
    102,849.20x = 154,273.80 × 36,288.80
  4. Step 4: Simplify right side
    102,849.20x = 5,598,411,073.44
  5. Step 5: Solve for x
    x = 5,598,411,073.44/102,849.20
  6. Step 6: Final answer
    x = 54,433.20

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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.