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Finding the Fourth Proportional to 231,947.64, 320,057.87 and 136,419.48

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Solution

The fourth proportional to 231,947.64, 320,057.87 and 136,419.48 is: 188,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,947.64 : 320,057.87 = 136,419.48 : x
  2. Step 2: Convert to fraction form
    231,947.64/320,057.87 = 136,419.48/x
  3. Step 3: Cross multiply
    231,947.64x = 320,057.87 × 136,419.48
  4. Step 4: Simplify right side
    231,947.64x = 43,662,127,513.21
  5. Step 5: Solve for x
    x = 43,662,127,513.21/231,947.64
  6. Step 6: Final answer
    x = 188,241.31

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