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Finding the Fourth Proportional to 106,974.40, 160,519.20 and 47,819.20

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Solution

The fourth proportional to 106,974.40, 160,519.20 and 47,819.20 is: 71,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,974.40 : 160,519.20 = 47,819.20 : x
  2. Step 2: Convert to fraction form
    106,974.40/160,519.20 = 47,819.20/x
  3. Step 3: Cross multiply
    106,974.40x = 160,519.20 × 47,819.20
  4. Step 4: Simplify right side
    106,974.40x = 7,675,899,728.64
  5. Step 5: Solve for x
    x = 7,675,899,728.64/106,974.40
  6. Step 6: Final answer
    x = 71,754.55

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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.