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Finding the Fourth Proportional to 221,189.44, 331,784.42 and 54,977.44

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Solution

The fourth proportional to 221,189.44, 331,784.42 and 54,977.44 is: 82,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,189.44 : 331,784.42 = 54,977.44 : x
  2. Step 2: Convert to fraction form
    221,189.44/331,784.42 = 54,977.44/x
  3. Step 3: Cross multiply
    221,189.44x = 331,784.42 × 54,977.44
  4. Step 4: Simplify right side
    221,189.44x = 18,240,658,043.48
  5. Step 5: Solve for x
    x = 18,240,658,043.48/221,189.44
  6. Step 6: Final answer
    x = 82,466.22

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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.