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Finding the Fourth Proportional to 106,819.48, 160,229.02 and 40,274.54

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Solution

The fourth proportional to 106,819.48, 160,229.02 and 40,274.54 is: 60,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,819.48 : 160,229.02 = 40,274.54 : x
  2. Step 2: Convert to fraction form
    106,819.48/160,229.02 = 40,274.54/x
  3. Step 3: Cross multiply
    106,819.48x = 160,229.02 × 40,274.54
  4. Step 4: Simplify right side
    106,819.48x = 6,453,150,075.15
  5. Step 5: Solve for x
    x = 6,453,150,075.15/106,819.48
  6. Step 6: Final answer
    x = 60,411.73

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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.