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Finding the Fourth Proportional to 122,298.27, 183,414.12 and 33,530.67

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Solution

The fourth proportional to 122,298.27, 183,414.12 and 33,530.67 is: 50,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,298.27 : 183,414.12 = 33,530.67 : x
  2. Step 2: Convert to fraction form
    122,298.27/183,414.12 = 33,530.67/x
  3. Step 3: Cross multiply
    122,298.27x = 183,414.12 × 33,530.67
  4. Step 4: Simplify right side
    122,298.27x = 6,149,998,331.06
  5. Step 5: Solve for x
    x = 6,149,998,331.06/122,298.27
  6. Step 6: Final answer
    x = 50,286.88

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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.