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Finding the Fourth Proportional to 123,002, 184,503 and 35,450

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Solution

The fourth proportional to 123,002, 184,503 and 35,450 is: 53,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,002 : 184,503 = 35,450 : x
  2. Step 2: Convert to fraction form
    123,002/184,503 = 35,450/x
  3. Step 3: Cross multiply
    123,002x = 184,503 × 35,450
  4. Step 4: Simplify right side
    123,002x = 6,540,631,350
  5. Step 5: Solve for x
    x = 6,540,631,350/123,002
  6. Step 6: Final answer
    x = 53,175

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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.