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Finding the Fourth Proportional to 122,324.35, 183,486.53 and 80,224.60

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Solution

The fourth proportional to 122,324.35, 183,486.53 and 80,224.60 is: 120,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,324.35 : 183,486.53 = 80,224.60 : x
  2. Step 2: Convert to fraction form
    122,324.35/183,486.53 = 80,224.60/x
  3. Step 3: Cross multiply
    122,324.35x = 183,486.53 × 80,224.60
  4. Step 4: Simplify right side
    122,324.35x = 14,720,133,073.52
  5. Step 5: Solve for x
    x = 14,720,133,073.52/122,324.35
  6. Step 6: Final answer
    x = 120,336.90

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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.