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Finding the Fourth Proportional to 152,057.66, 227,911.26 and 81,789.26

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Solution

The fourth proportional to 152,057.66, 227,911.26 and 81,789.26 is: 122,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,057.66 : 227,911.26 = 81,789.26 : x
  2. Step 2: Convert to fraction form
    152,057.66/227,911.26 = 81,789.26/x
  3. Step 3: Cross multiply
    152,057.66x = 227,911.26 × 81,789.26
  4. Step 4: Simplify right side
    152,057.66x = 18,640,693,301.07
  5. Step 5: Solve for x
    x = 18,640,693,301.07/152,057.66
  6. Step 6: Final answer
    x = 122,589.64

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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.