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Finding the Fourth Proportional to 225,481.74, 338,261.58 and 75,736.50

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Solution

The fourth proportional to 225,481.74, 338,261.58 and 75,736.50 is: 113,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,481.74 : 338,261.58 = 75,736.50 : x
  2. Step 2: Convert to fraction form
    225,481.74/338,261.58 = 75,736.50/x
  3. Step 3: Cross multiply
    225,481.74x = 338,261.58 × 75,736.50
  4. Step 4: Simplify right side
    225,481.74x = 25,618,748,153.67
  5. Step 5: Solve for x
    x = 25,618,748,153.67/225,481.74
  6. Step 6: Final answer
    x = 113,617.84

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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.