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Finding the Fourth Proportional to 114,286.16, 171,692.06 and 80,629.63

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Solution

The fourth proportional to 114,286.16, 171,692.06 and 80,629.63 is: 121,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,286.16 : 171,692.06 = 80,629.63 : x
  2. Step 2: Convert to fraction form
    114,286.16/171,692.06 = 80,629.63/x
  3. Step 3: Cross multiply
    114,286.16x = 171,692.06 × 80,629.63
  4. Step 4: Simplify right side
    114,286.16x = 13,843,466,439.36
  5. Step 5: Solve for x
    x = 13,843,466,439.36/114,286.16
  6. Step 6: Final answer
    x = 121,129.86

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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.