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Finding the Fourth Proportional to 123,266.10, 184,791.15 and 83,694.90

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Solution

The fourth proportional to 123,266.10, 184,791.15 and 83,694.90 is: 125,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,266.10 : 184,791.15 = 83,694.90 : x
  2. Step 2: Convert to fraction form
    123,266.10/184,791.15 = 83,694.90/x
  3. Step 3: Cross multiply
    123,266.10x = 184,791.15 × 83,694.90
  4. Step 4: Simplify right side
    123,266.10x = 15,466,076,820.14
  5. Step 5: Solve for x
    x = 15,466,076,820.14/123,266.10
  6. Step 6: Final answer
    x = 125,469.02

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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.