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Finding the Fourth Proportional to 161,600.94, 242,251.74 and 82,540.80

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Solution

The fourth proportional to 161,600.94, 242,251.74 and 82,540.80 is: 123,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,600.94 : 242,251.74 = 82,540.80 : x
  2. Step 2: Convert to fraction form
    161,600.94/242,251.74 = 82,540.80/x
  3. Step 3: Cross multiply
    161,600.94x = 242,251.74 × 82,540.80
  4. Step 4: Simplify right side
    161,600.94x = 19,995,652,420.99
  5. Step 5: Solve for x
    x = 19,995,652,420.99/161,600.94
  6. Step 6: Final answer
    x = 123,734.75

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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.