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Finding the Fourth Proportional to 122,945.60, 184,272.60 and 110,406.80

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Solution

The fourth proportional to 122,945.60, 184,272.60 and 110,406.80 is: 165,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,945.60 : 184,272.60 = 110,406.80 : x
  2. Step 2: Convert to fraction form
    122,945.60/184,272.60 = 110,406.80/x
  3. Step 3: Cross multiply
    122,945.60x = 184,272.60 × 110,406.80
  4. Step 4: Simplify right side
    122,945.60x = 20,344,948,093.68
  5. Step 5: Solve for x
    x = 20,344,948,093.68/122,945.60
  6. Step 6: Final answer
    x = 165,479.27

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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.