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Finding the Fourth Proportional to 122,924.38, 184,390.08 and 66,791.38

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Solution

The fourth proportional to 122,924.38, 184,390.08 and 66,791.38 is: 100,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,924.38 : 184,390.08 = 66,791.38 : x
  2. Step 2: Convert to fraction form
    122,924.38/184,390.08 = 66,791.38/x
  3. Step 3: Cross multiply
    122,924.38x = 184,390.08 × 66,791.38
  4. Step 4: Simplify right side
    122,924.38x = 12,315,667,901.51
  5. Step 5: Solve for x
    x = 12,315,667,901.51/122,924.38
  6. Step 6: Final answer
    x = 100,188.98

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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.