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Finding the Fourth Proportional to 122,866.92, 184,277.34 and 43,977.96

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Solution

The fourth proportional to 122,866.92, 184,277.34 and 43,977.96 is: 65,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,866.92 : 184,277.34 = 43,977.96 : x
  2. Step 2: Convert to fraction form
    122,866.92/184,277.34 = 43,977.96/x
  3. Step 3: Cross multiply
    122,866.92x = 184,277.34 × 43,977.96
  4. Step 4: Simplify right side
    122,866.92x = 8,104,141,487.43
  5. Step 5: Solve for x
    x = 8,104,141,487.43/122,866.92
  6. Step 6: Final answer
    x = 65,958.69

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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.