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Finding the Fourth Proportional to 161,310.84, 242,015.46 and 82,480.44

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Solution

The fourth proportional to 161,310.84, 242,015.46 and 82,480.44 is: 123,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,310.84 : 242,015.46 = 82,480.44 : x
  2. Step 2: Convert to fraction form
    161,310.84/242,015.46 = 82,480.44/x
  3. Step 3: Cross multiply
    161,310.84x = 242,015.46 × 82,480.44
  4. Step 4: Simplify right side
    161,310.84x = 19,961,541,627.60
  5. Step 5: Solve for x
    x = 19,961,541,627.60/161,310.84
  6. Step 6: Final answer
    x = 123,745.82

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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.