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Finding the Fourth Proportional to 114,072.12, 170,965.62 and 54,891.90

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Solution

The fourth proportional to 114,072.12, 170,965.62 and 54,891.90 is: 82,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,072.12 : 170,965.62 = 54,891.90 : x
  2. Step 2: Convert to fraction form
    114,072.12/170,965.62 = 54,891.90/x
  3. Step 3: Cross multiply
    114,072.12x = 170,965.62 × 54,891.90
  4. Step 4: Simplify right side
    114,072.12x = 9,384,627,716.48
  5. Step 5: Solve for x
    x = 9,384,627,716.48/114,072.12
  6. Step 6: Final answer
    x = 82,269.25

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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.