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Finding the Fourth Proportional to 122,213.64, 183,318.96 and 33,467.07

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Solution

The fourth proportional to 122,213.64, 183,318.96 and 33,467.07 is: 50,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,213.64 : 183,318.96 = 33,467.07 : x
  2. Step 2: Convert to fraction form
    122,213.64/183,318.96 = 33,467.07/x
  3. Step 3: Cross multiply
    122,213.64x = 183,318.96 × 33,467.07
  4. Step 4: Simplify right side
    122,213.64x = 6,135,148,466.65
  5. Step 5: Solve for x
    x = 6,135,148,466.65/122,213.64
  6. Step 6: Final answer
    x = 50,200.19

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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.