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Finding the Fourth Proportional to 231,044.88, 346,419.01 and 96,202.36

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Solution

The fourth proportional to 231,044.88, 346,419.01 and 96,202.36 is: 144,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,044.88 : 346,419.01 = 96,202.36 : x
  2. Step 2: Convert to fraction form
    231,044.88/346,419.01 = 96,202.36/x
  3. Step 3: Cross multiply
    231,044.88x = 346,419.01 × 96,202.36
  4. Step 4: Simplify right side
    231,044.88x = 33,326,325,204.31
  5. Step 5: Solve for x
    x = 33,326,325,204.31/231,044.88
  6. Step 6: Final answer
    x = 144,241.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.