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Finding the Fourth Proportional to 122,163.84, 183,251.28 and 33,415.36

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Solution

The fourth proportional to 122,163.84, 183,251.28 and 33,415.36 is: 50,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,163.84 : 183,251.28 = 33,415.36 : x
  2. Step 2: Convert to fraction form
    122,163.84/183,251.28 = 33,415.36/x
  3. Step 3: Cross multiply
    122,163.84x = 183,251.28 × 33,415.36
  4. Step 4: Simplify right side
    122,163.84x = 6,123,407,491.66
  5. Step 5: Solve for x
    x = 6,123,407,491.66/122,163.84
  6. Step 6: Final answer
    x = 50,124.55

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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.