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Finding the Fourth Proportional to 114,161.26, 171,238.35 and 54,232.87

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Solution

The fourth proportional to 114,161.26, 171,238.35 and 54,232.87 is: 81,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,161.26 : 171,238.35 = 54,232.87 : x
  2. Step 2: Convert to fraction form
    114,161.26/171,238.35 = 54,232.87/x
  3. Step 3: Cross multiply
    114,161.26x = 171,238.35 × 54,232.87
  4. Step 4: Simplify right side
    114,161.26x = 9,286,747,174.56
  5. Step 5: Solve for x
    x = 9,286,747,174.56/114,161.26
  6. Step 6: Final answer
    x = 81,347.63

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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.