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Finding the Fourth Proportional to 221,714.53, 332,530.29 and 71,956.12

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Solution

The fourth proportional to 221,714.53, 332,530.29 and 71,956.12 is: 107,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,714.53 : 332,530.29 = 71,956.12 : x
  2. Step 2: Convert to fraction form
    221,714.53/332,530.29 = 71,956.12/x
  3. Step 3: Cross multiply
    221,714.53x = 332,530.29 × 71,956.12
  4. Step 4: Simplify right side
    221,714.53x = 23,927,589,450.87
  5. Step 5: Solve for x
    x = 23,927,589,450.87/221,714.53
  6. Step 6: Final answer
    x = 107,920.71

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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.