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Finding the Fourth Proportional to 122,961.60, 184,324.32 and 78,462.72

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Solution

The fourth proportional to 122,961.60, 184,324.32 and 78,462.72 is: 117,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,961.60 : 184,324.32 = 78,462.72 : x
  2. Step 2: Convert to fraction form
    122,961.60/184,324.32 = 78,462.72/x
  3. Step 3: Cross multiply
    122,961.60x = 184,324.32 × 78,462.72
  4. Step 4: Simplify right side
    122,961.60x = 14,462,587,509.35
  5. Step 5: Solve for x
    x = 14,462,587,509.35/122,961.60
  6. Step 6: Final answer
    x = 117,618.73

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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.