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Finding the Fourth Proportional to 225,892.86, 338,870.56 and 76,175.96

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Solution

The fourth proportional to 225,892.86, 338,870.56 and 76,175.96 is: 114,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,892.86 : 338,870.56 = 76,175.96 : x
  2. Step 2: Convert to fraction form
    225,892.86/338,870.56 = 76,175.96/x
  3. Step 3: Cross multiply
    225,892.86x = 338,870.56 × 76,175.96
  4. Step 4: Simplify right side
    225,892.86x = 25,813,790,223.74
  5. Step 5: Solve for x
    x = 25,813,790,223.74/225,892.86
  6. Step 6: Final answer
    x = 114,274.48

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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.