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Finding the Fourth Proportional to 221,093.92, 331,640.88 and 54,881.92

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Solution

The fourth proportional to 221,093.92, 331,640.88 and 54,881.92 is: 82,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,093.92 : 331,640.88 = 54,881.92 : x
  2. Step 2: Convert to fraction form
    221,093.92/331,640.88 = 54,881.92/x
  3. Step 3: Cross multiply
    221,093.92x = 331,640.88 × 54,881.92
  4. Step 4: Simplify right side
    221,093.92x = 18,201,088,244.89
  5. Step 5: Solve for x
    x = 18,201,088,244.89/221,093.92
  6. Step 6: Final answer
    x = 82,322.88

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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.