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Finding the Fourth Proportional to 117,694, 176,620.38 and 43,822

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Solution

The fourth proportional to 117,694, 176,620.38 and 43,822 is: 65,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,694 : 176,620.38 = 43,822 : x
  2. Step 2: Convert to fraction form
    117,694/176,620.38 = 43,822/x
  3. Step 3: Cross multiply
    117,694x = 176,620.38 × 43,822
  4. Step 4: Simplify right side
    117,694x = 7,739,858,292.36
  5. Step 5: Solve for x
    x = 7,739,858,292.36/117,694
  6. Step 6: Final answer
    x = 65,762.56

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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.