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Finding the Fourth Proportional to 122,593.20, 184,062.60 and 75,937.20

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Solution

The fourth proportional to 122,593.20, 184,062.60 and 75,937.20 is: 114,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593.20 : 184,062.60 = 75,937.20 : x
  2. Step 2: Convert to fraction form
    122,593.20/184,062.60 = 75,937.20/x
  3. Step 3: Cross multiply
    122,593.20x = 184,062.60 × 75,937.20
  4. Step 4: Simplify right side
    122,593.20x = 13,977,198,468.72
  5. Step 5: Solve for x
    x = 13,977,198,468.72/122,593.20
  6. Step 6: Final answer
    x = 114,012.84

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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.