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Finding the Fourth Proportional to 263,044.26, 362,915.44 and 160,963.20

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Solution

The fourth proportional to 263,044.26, 362,915.44 and 160,963.20 is: 222,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,044.26 : 362,915.44 = 160,963.20 : x
  2. Step 2: Convert to fraction form
    263,044.26/362,915.44 = 160,963.20/x
  3. Step 3: Cross multiply
    263,044.26x = 362,915.44 × 160,963.20
  4. Step 4: Simplify right side
    263,044.26x = 58,416,030,149.40
  5. Step 5: Solve for x
    x = 58,416,030,149.40/263,044.26
  6. Step 6: Final answer
    x = 222,076.81

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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.