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Finding the Fourth Proportional to 146,497.82, 219,753.12 and 71,680.96

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Solution

The fourth proportional to 146,497.82, 219,753.12 and 71,680.96 is: 107,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,497.82 : 219,753.12 = 71,680.96 : x
  2. Step 2: Convert to fraction form
    146,497.82/219,753.12 = 71,680.96/x
  3. Step 3: Cross multiply
    146,497.82x = 219,753.12 × 71,680.96
  4. Step 4: Simplify right side
    146,497.82x = 15,752,114,604.60
  5. Step 5: Solve for x
    x = 15,752,114,604.60/146,497.82
  6. Step 6: Final answer
    x = 107,524.57

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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.