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Finding the Fourth Proportional to 114,169.56, 171,338.46 and 54,198.24

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Solution

The fourth proportional to 114,169.56, 171,338.46 and 54,198.24 is: 81,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,169.56 : 171,338.46 = 54,198.24 : x
  2. Step 2: Convert to fraction form
    114,169.56/171,338.46 = 54,198.24/x
  3. Step 3: Cross multiply
    114,169.56x = 171,338.46 × 54,198.24
  4. Step 4: Simplify right side
    114,169.56x = 9,286,242,976.31
  5. Step 5: Solve for x
    x = 9,286,242,976.31/114,169.56
  6. Step 6: Final answer
    x = 81,337.29

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1.5x scale

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.