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Finding the Fourth Proportional to 225,885.75, 338,759.51 and 76,085.88

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Solution

The fourth proportional to 225,885.75, 338,759.51 and 76,085.88 is: 114,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,885.75 : 338,759.51 = 76,085.88 : x
  2. Step 2: Convert to fraction form
    225,885.75/338,759.51 = 76,085.88/x
  3. Step 3: Cross multiply
    225,885.75x = 338,759.51 × 76,085.88
  4. Step 4: Simplify right side
    225,885.75x = 25,774,815,046.29
  5. Step 5: Solve for x
    x = 25,774,815,046.29/225,885.75
  6. Step 6: Final answer
    x = 114,105.54

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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.