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Finding the Fourth Proportional to 102,819.20, 154,113.60 and 43,644.80

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Solution

The fourth proportional to 102,819.20, 154,113.60 and 43,644.80 is: 65,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,819.20 : 154,113.60 = 43,644.80 : x
  2. Step 2: Convert to fraction form
    102,819.20/154,113.60 = 43,644.80/x
  3. Step 3: Cross multiply
    102,819.20x = 154,113.60 × 43,644.80
  4. Step 4: Simplify right side
    102,819.20x = 6,726,257,249.28
  5. Step 5: Solve for x
    x = 6,726,257,249.28/102,819.20
  6. Step 6: Final answer
    x = 65,418.30

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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.