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Finding the Fourth Proportional to 263,135.88, 363,127.29 and 142,277.09

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Solution

The fourth proportional to 263,135.88, 363,127.29 and 142,277.09 is: 196,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,135.88 : 363,127.29 = 142,277.09 : x
  2. Step 2: Convert to fraction form
    263,135.88/363,127.29 = 142,277.09/x
  3. Step 3: Cross multiply
    263,135.88x = 363,127.29 × 142,277.09
  4. Step 4: Simplify right side
    263,135.88x = 51,664,692,305.15
  5. Step 5: Solve for x
    x = 51,664,692,305.15/263,135.88
  6. Step 6: Final answer
    x = 196,342.26

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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.