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Finding the Fourth Proportional to 122,469.28, 183,266.16 and 95,992

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Solution

The fourth proportional to 122,469.28, 183,266.16 and 95,992 is: 143,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,469.28 : 183,266.16 = 95,992 : x
  2. Step 2: Convert to fraction form
    122,469.28/183,266.16 = 95,992/x
  3. Step 3: Cross multiply
    122,469.28x = 183,266.16 × 95,992
  4. Step 4: Simplify right side
    122,469.28x = 17,592,085,230.72
  5. Step 5: Solve for x
    x = 17,592,085,230.72/122,469.28
  6. Step 6: Final answer
    x = 143,644.88

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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.