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Finding the Fourth Proportional to 122,205.78, 183,308.46 and 33,466.20

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Solution

The fourth proportional to 122,205.78, 183,308.46 and 33,466.20 is: 50,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,205.78 : 183,308.46 = 33,466.20 : x
  2. Step 2: Convert to fraction form
    122,205.78/183,308.46 = 33,466.20/x
  3. Step 3: Cross multiply
    122,205.78x = 183,308.46 × 33,466.20
  4. Step 4: Simplify right side
    122,205.78x = 6,134,637,584.05
  5. Step 5: Solve for x
    x = 6,134,637,584.05/122,205.78
  6. Step 6: Final answer
    x = 50,199.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.