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Finding the Fourth Proportional to 161,401, 242,140.38 and 50,593

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Solution

The fourth proportional to 161,401, 242,140.38 and 50,593 is: 75,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,401 : 242,140.38 = 50,593 : x
  2. Step 2: Convert to fraction form
    161,401/242,140.38 = 50,593/x
  3. Step 3: Cross multiply
    161,401x = 242,140.38 × 50,593
  4. Step 4: Simplify right side
    161,401x = 12,250,608,245.34
  5. Step 5: Solve for x
    x = 12,250,608,245.34/161,401
  6. Step 6: Final answer
    x = 75,901.69

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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.