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Finding the Fourth Proportional to 122,728.60, 184,190.10 and 47,884.60

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Solution

The fourth proportional to 122,728.60, 184,190.10 and 47,884.60 is: 71,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,728.60 : 184,190.10 = 47,884.60 : x
  2. Step 2: Convert to fraction form
    122,728.60/184,190.10 = 47,884.60/x
  3. Step 3: Cross multiply
    122,728.60x = 184,190.10 × 47,884.60
  4. Step 4: Simplify right side
    122,728.60x = 8,819,869,262.46
  5. Step 5: Solve for x
    x = 8,819,869,262.46/122,728.60
  6. Step 6: Final answer
    x = 71,864.82

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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.