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Finding the Fourth Proportional to 147,682.87, 221,477.83 and 47,819.99

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Solution

The fourth proportional to 147,682.87, 221,477.83 and 47,819.99 is: 71,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,682.87 : 221,477.83 = 47,819.99 : x
  2. Step 2: Convert to fraction form
    147,682.87/221,477.83 = 47,819.99/x
  3. Step 3: Cross multiply
    147,682.87x = 221,477.83 × 47,819.99
  4. Step 4: Simplify right side
    147,682.87x = 10,591,068,049.97
  5. Step 5: Solve for x
    x = 10,591,068,049.97/147,682.87
  6. Step 6: Final answer
    x = 71,714.94

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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.