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Finding the Fourth Proportional to 281,469.90, 422,232.54 and 81,792.03

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Solution

The fourth proportional to 281,469.90, 422,232.54 and 81,792.03 is: 122,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,469.90 : 422,232.54 = 81,792.03 : x
  2. Step 2: Convert to fraction form
    281,469.90/422,232.54 = 81,792.03/x
  3. Step 3: Cross multiply
    281,469.90x = 422,232.54 × 81,792.03
  4. Step 4: Simplify right side
    281,469.90x = 34,535,256,578.66
  5. Step 5: Solve for x
    x = 34,535,256,578.66/281,469.90
  6. Step 6: Final answer
    x = 122,696.09

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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.