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Finding the Fourth Proportional to 226,008.96, 338,600.25 and 105,845.46

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Solution

The fourth proportional to 226,008.96, 338,600.25 and 105,845.46 is: 158,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,008.96 : 338,600.25 = 105,845.46 : x
  2. Step 2: Convert to fraction form
    226,008.96/338,600.25 = 105,845.46/x
  3. Step 3: Cross multiply
    226,008.96x = 338,600.25 × 105,845.46
  4. Step 4: Simplify right side
    226,008.96x = 35,839,299,217.37
  5. Step 5: Solve for x
    x = 35,839,299,217.37/226,008.96
  6. Step 6: Final answer
    x = 158,574.68

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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.