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Finding the Fourth Proportional to 122,169.24, 183,253.86 and 33,419.16

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Solution

The fourth proportional to 122,169.24, 183,253.86 and 33,419.16 is: 50,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,169.24 : 183,253.86 = 33,419.16 : x
  2. Step 2: Convert to fraction form
    122,169.24/183,253.86 = 33,419.16/x
  3. Step 3: Cross multiply
    122,169.24x = 183,253.86 × 33,419.16
  4. Step 4: Simplify right side
    122,169.24x = 6,124,190,067.96
  5. Step 5: Solve for x
    x = 6,124,190,067.96/122,169.24
  6. Step 6: Final answer
    x = 50,128.74

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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.