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Finding the Fourth Proportional to 152,228.97, 228,481.97 and 81,211.82

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Solution

The fourth proportional to 152,228.97, 228,481.97 and 81,211.82 is: 121,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,228.97 : 228,481.97 = 81,211.82 : x
  2. Step 2: Convert to fraction form
    152,228.97/228,481.97 = 81,211.82/x
  3. Step 3: Cross multiply
    152,228.97x = 228,481.97 × 81,211.82
  4. Step 4: Simplify right side
    152,228.97x = 18,555,435,072.42
  5. Step 5: Solve for x
    x = 18,555,435,072.42/152,228.97
  6. Step 6: Final answer
    x = 121,891.62

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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.