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Finding the Fourth Proportional to 122,099.20, 183,181.20 and 43,205.20

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Solution

The fourth proportional to 122,099.20, 183,181.20 and 43,205.20 is: 64,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,099.20 : 183,181.20 = 43,205.20 : x
  2. Step 2: Convert to fraction form
    122,099.20/183,181.20 = 43,205.20/x
  3. Step 3: Cross multiply
    122,099.20x = 183,181.20 × 43,205.20
  4. Step 4: Simplify right side
    122,099.20x = 7,914,380,382.24
  5. Step 5: Solve for x
    x = 7,914,380,382.24/122,099.20
  6. Step 6: Final answer
    x = 64,819.26

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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.