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Finding the Fourth Proportional to 122,961.60, 184,442.40 and 81,408.60

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Solution

The fourth proportional to 122,961.60, 184,442.40 and 81,408.60 is: 122,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,961.60 : 184,442.40 = 81,408.60 : x
  2. Step 2: Convert to fraction form
    122,961.60/184,442.40 = 81,408.60/x
  3. Step 3: Cross multiply
    122,961.60x = 184,442.40 × 81,408.60
  4. Step 4: Simplify right side
    122,961.60x = 15,015,197,564.64
  5. Step 5: Solve for x
    x = 15,015,197,564.64/122,961.60
  6. Step 6: Final answer
    x = 122,112.90

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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.