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Finding the Fourth Proportional to 122,161.66, 183,214.24 and 33,421.85

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Solution

The fourth proportional to 122,161.66, 183,214.24 and 33,421.85 is: 50,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,161.66 : 183,214.24 = 33,421.85 : x
  2. Step 2: Convert to fraction form
    122,161.66/183,214.24 = 33,421.85/x
  3. Step 3: Cross multiply
    122,161.66x = 183,214.24 × 33,421.85
  4. Step 4: Simplify right side
    122,161.66x = 6,123,358,847.14
  5. Step 5: Solve for x
    x = 6,123,358,847.14/122,161.66
  6. Step 6: Final answer
    x = 50,125.05

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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.