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Finding the Fourth Proportional to 122,514.56, 183,778.12 and 33,766.12

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Solution

The fourth proportional to 122,514.56, 183,778.12 and 33,766.12 is: 50,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,514.56 : 183,778.12 = 33,766.12 : x
  2. Step 2: Convert to fraction form
    122,514.56/183,778.12 = 33,766.12/x
  3. Step 3: Cross multiply
    122,514.56x = 183,778.12 × 33,766.12
  4. Step 4: Simplify right side
    122,514.56x = 6,205,474,053.29
  5. Step 5: Solve for x
    x = 6,205,474,053.29/122,514.56
  6. Step 6: Final answer
    x = 50,650.91

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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.