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Finding the Fourth Proportional to 122,778.60, 184,167.90 and 83,412.60

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Solution

The fourth proportional to 122,778.60, 184,167.90 and 83,412.60 is: 125,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,778.60 : 184,167.90 = 83,412.60 : x
  2. Step 2: Convert to fraction form
    122,778.60/184,167.90 = 83,412.60/x
  3. Step 3: Cross multiply
    122,778.60x = 184,167.90 × 83,412.60
  4. Step 4: Simplify right side
    122,778.60x = 15,361,923,375.54
  5. Step 5: Solve for x
    x = 15,361,923,375.54/122,778.60
  6. Step 6: Final answer
    x = 125,118.90

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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.