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Finding the Fourth Proportional to 114,198.88, 171,371.44 and 61,644.96

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Solution

The fourth proportional to 114,198.88, 171,371.44 and 61,644.96 is: 92,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,198.88 : 171,371.44 = 61,644.96 : x
  2. Step 2: Convert to fraction form
    114,198.88/171,371.44 = 61,644.96/x
  3. Step 3: Cross multiply
    114,198.88x = 171,371.44 × 61,644.96
  4. Step 4: Simplify right side
    114,198.88x = 10,564,185,563.94
  5. Step 5: Solve for x
    x = 10,564,185,563.94/114,198.88
  6. Step 6: Final answer
    x = 92,506.91

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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.