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Finding the Fourth Proportional to 225,519.35, 338,318.10 and 75,774.24

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Solution

The fourth proportional to 225,519.35, 338,318.10 and 75,774.24 is: 113,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,519.35 : 338,318.10 = 75,774.24 : x
  2. Step 2: Convert to fraction form
    225,519.35/338,318.10 = 75,774.24/x
  3. Step 3: Cross multiply
    225,519.35x = 338,318.10 × 75,774.24
  4. Step 4: Simplify right side
    225,519.35x = 25,635,796,905.74
  5. Step 5: Solve for x
    x = 25,635,796,905.74/225,519.35
  6. Step 6: Final answer
    x = 113,674.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.