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Finding the Fourth Proportional to 221,878.32, 332,949.36 and 81,735.36

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Solution

The fourth proportional to 221,878.32, 332,949.36 and 81,735.36 is: 122,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,878.32 : 332,949.36 = 81,735.36 : x
  2. Step 2: Convert to fraction form
    221,878.32/332,949.36 = 81,735.36/x
  3. Step 3: Cross multiply
    221,878.32x = 332,949.36 × 81,735.36
  4. Step 4: Simplify right side
    221,878.32x = 27,213,735,801.37
  5. Step 5: Solve for x
    x = 27,213,735,801.37/221,878.32
  6. Step 6: Final answer
    x = 122,651.62

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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.