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Finding the Fourth Proportional to 137,463, 206,194.50 and 43,976.04

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Solution

The fourth proportional to 137,463, 206,194.50 and 43,976.04 is: 65,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,463 : 206,194.50 = 43,976.04 : x
  2. Step 2: Convert to fraction form
    137,463/206,194.50 = 43,976.04/x
  3. Step 3: Cross multiply
    137,463x = 206,194.50 × 43,976.04
  4. Step 4: Simplify right side
    137,463x = 9,067,617,579.78
  5. Step 5: Solve for x
    x = 9,067,617,579.78/137,463
  6. Step 6: Final answer
    x = 65,964.06

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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.