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Finding the Fourth Proportional to 222,085.20, 333,176.40 and 109,819.20

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Solution

The fourth proportional to 222,085.20, 333,176.40 and 109,819.20 is: 164,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,085.20 : 333,176.40 = 109,819.20 : x
  2. Step 2: Convert to fraction form
    222,085.20/333,176.40 = 109,819.20/x
  3. Step 3: Cross multiply
    222,085.20x = 333,176.40 × 109,819.20
  4. Step 4: Simplify right side
    222,085.20x = 36,589,165,706.88
  5. Step 5: Solve for x
    x = 36,589,165,706.88/222,085.20
  6. Step 6: Final answer
    x = 164,752.83

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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.