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Finding the Fourth Proportional to 122,845.62, 184,257.81 and 74,801.82

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Solution

The fourth proportional to 122,845.62, 184,257.81 and 74,801.82 is: 112,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,845.62 : 184,257.81 = 74,801.82 : x
  2. Step 2: Convert to fraction form
    122,845.62/184,257.81 = 74,801.82/x
  3. Step 3: Cross multiply
    122,845.62x = 184,257.81 × 74,801.82
  4. Step 4: Simplify right side
    122,845.62x = 13,782,819,537.21
  5. Step 5: Solve for x
    x = 13,782,819,537.21/122,845.62
  6. Step 6: Final answer
    x = 112,196.26

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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.