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Finding the Fourth Proportional to 221,954.48, 332,964.88 and 81,702.44

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Solution

The fourth proportional to 221,954.48, 332,964.88 and 81,702.44 is: 122,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,954.48 : 332,964.88 = 81,702.44 : x
  2. Step 2: Convert to fraction form
    221,954.48/332,964.88 = 81,702.44/x
  3. Step 3: Cross multiply
    221,954.48x = 332,964.88 × 81,702.44
  4. Step 4: Simplify right side
    221,954.48x = 27,204,043,130.31
  5. Step 5: Solve for x
    x = 27,204,043,130.31/221,954.48
  6. Step 6: Final answer
    x = 122,565.87

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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.