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Finding the Fourth Proportional to 256,162.26, 353,731.44 and 159,532.02

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Solution

The fourth proportional to 256,162.26, 353,731.44 and 159,532.02 is: 220,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,162.26 : 353,731.44 = 159,532.02 : x
  2. Step 2: Convert to fraction form
    256,162.26/353,731.44 = 159,532.02/x
  3. Step 3: Cross multiply
    256,162.26x = 353,731.44 × 159,532.02
  4. Step 4: Simplify right side
    256,162.26x = 56,431,491,160.71
  5. Step 5: Solve for x
    x = 56,431,491,160.71/256,162.26
  6. Step 6: Final answer
    x = 220,295.88

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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.