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Finding the Fourth Proportional to 148,664, 222,996 and 50,168

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Solution

The fourth proportional to 148,664, 222,996 and 50,168 is: 75,252

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,664 : 222,996 = 50,168 : x
  2. Step 2: Convert to fraction form
    148,664/222,996 = 50,168/x
  3. Step 3: Cross multiply
    148,664x = 222,996 × 50,168
  4. Step 4: Simplify right side
    148,664x = 11,187,263,328
  5. Step 5: Solve for x
    x = 11,187,263,328/148,664
  6. Step 6: Final answer
    x = 75,252

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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.