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Finding the Fourth Proportional to 114,344.94, 171,425.82 and 54,343.29

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Solution

The fourth proportional to 114,344.94, 171,425.82 and 54,343.29 is: 81,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,344.94 : 171,425.82 = 54,343.29 : x
  2. Step 2: Convert to fraction form
    114,344.94/171,425.82 = 54,343.29/x
  3. Step 3: Cross multiply
    114,344.94x = 171,425.82 × 54,343.29
  4. Step 4: Simplify right side
    114,344.94x = 9,315,843,049.75
  5. Step 5: Solve for x
    x = 9,315,843,049.75/114,344.94
  6. Step 6: Final answer
    x = 81,471.41

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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.