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Finding the Fourth Proportional to 214,244.89, 294,984.85 and 181,912.12

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Solution

The fourth proportional to 214,244.89, 294,984.85 and 181,912.12 is: 250,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,244.89 : 294,984.85 = 181,912.12 : x
  2. Step 2: Convert to fraction form
    214,244.89/294,984.85 = 181,912.12/x
  3. Step 3: Cross multiply
    214,244.89x = 294,984.85 × 181,912.12
  4. Step 4: Simplify right side
    214,244.89x = 53,661,319,431.38
  5. Step 5: Solve for x
    x = 53,661,319,431.38/214,244.89
  6. Step 6: Final answer
    x = 250,467.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.