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Finding the Fourth Proportional to 225,593.91, 338,352.89 and 105,663.42

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Solution

The fourth proportional to 225,593.91, 338,352.89 and 105,663.42 is: 158,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,593.91 : 338,352.89 = 105,663.42 : x
  2. Step 2: Convert to fraction form
    225,593.91/338,352.89 = 105,663.42/x
  3. Step 3: Cross multiply
    225,593.91x = 338,352.89 × 105,663.42
  4. Step 4: Simplify right side
    225,593.91x = 35,751,522,995.97
  5. Step 5: Solve for x
    x = 35,751,522,995.97/225,593.91
  6. Step 6: Final answer
    x = 158,477.34

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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.