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Finding the Fourth Proportional to 117,694.50, 176,621.13 and 43,822.50

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Solution

The fourth proportional to 117,694.50, 176,621.13 and 43,822.50 is: 65,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,694.50 : 176,621.13 = 43,822.50 : x
  2. Step 2: Convert to fraction form
    117,694.50/176,621.13 = 43,822.50/x
  3. Step 3: Cross multiply
    117,694.50x = 176,621.13 × 43,822.50
  4. Step 4: Simplify right side
    117,694.50x = 7,739,979,469.43
  5. Step 5: Solve for x
    x = 7,739,979,469.43/117,694.50
  6. Step 6: Final answer
    x = 65,763.31

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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.