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Finding the Fourth Proportional to 122,983.20, 184,474.80 and 44,105.40

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Solution

The fourth proportional to 122,983.20, 184,474.80 and 44,105.40 is: 66,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,983.20 : 184,474.80 = 44,105.40 : x
  2. Step 2: Convert to fraction form
    122,983.20/184,474.80 = 44,105.40/x
  3. Step 3: Cross multiply
    122,983.20x = 184,474.80 × 44,105.40
  4. Step 4: Simplify right side
    122,983.20x = 8,136,334,843.92
  5. Step 5: Solve for x
    x = 8,136,334,843.92/122,983.20
  6. Step 6: Final answer
    x = 66,158.10

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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.