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Finding the Fourth Proportional to 222,991.82, 334,309.31 and 116,322.28

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Solution

The fourth proportional to 222,991.82, 334,309.31 and 116,322.28 is: 174,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,991.82 : 334,309.31 = 116,322.28 : x
  2. Step 2: Convert to fraction form
    222,991.82/334,309.31 = 116,322.28/x
  3. Step 3: Cross multiply
    222,991.82x = 334,309.31 × 116,322.28
  4. Step 4: Simplify right side
    222,991.82x = 38,887,620,183.25
  5. Step 5: Solve for x
    x = 38,887,620,183.25/222,991.82
  6. Step 6: Final answer
    x = 174,390.34

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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.