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Finding the Fourth Proportional to 225,863.66, 338,709.42 and 76,063.76

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Solution

The fourth proportional to 225,863.66, 338,709.42 and 76,063.76 is: 114,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,863.66 : 338,709.42 = 76,063.76 : x
  2. Step 2: Convert to fraction form
    225,863.66/338,709.42 = 76,063.76/x
  3. Step 3: Cross multiply
    225,863.66x = 338,709.42 × 76,063.76
  4. Step 4: Simplify right side
    225,863.66x = 25,763,512,032.62
  5. Step 5: Solve for x
    x = 25,763,512,032.62/225,863.66
  6. Step 6: Final answer
    x = 114,066.65

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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.