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Finding the Fourth Proportional to 334,896.82, 462,155.78 and 181,933.80

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Solution

The fourth proportional to 334,896.82, 462,155.78 and 181,933.80 is: 251,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,896.82 : 462,155.78 = 181,933.80 : x
  2. Step 2: Convert to fraction form
    334,896.82/462,155.78 = 181,933.80/x
  3. Step 3: Cross multiply
    334,896.82x = 462,155.78 × 181,933.80
  4. Step 4: Simplify right side
    334,896.82x = 84,081,757,247.36
  5. Step 5: Solve for x
    x = 84,081,757,247.36/334,896.82
  6. Step 6: Final answer
    x = 251,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.