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Finding the Fourth Proportional to 122,846.62, 184,270.96 and 34,107.05

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Solution

The fourth proportional to 122,846.62, 184,270.96 and 34,107.05 is: 51,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,846.62 : 184,270.96 = 34,107.05 : x
  2. Step 2: Convert to fraction form
    122,846.62/184,270.96 = 34,107.05/x
  3. Step 3: Cross multiply
    122,846.62x = 184,270.96 × 34,107.05
  4. Step 4: Simplify right side
    122,846.62x = 6,284,938,846.27
  5. Step 5: Solve for x
    x = 6,284,938,846.27/122,846.62
  6. Step 6: Final answer
    x = 51,160.86

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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.