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Finding the Fourth Proportional to 165,086.93, 226,942.79 and 142,032

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Solution

The fourth proportional to 165,086.93, 226,942.79 and 142,032 is: 195,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,086.93 : 226,942.79 = 142,032 : x
  2. Step 2: Convert to fraction form
    165,086.93/226,942.79 = 142,032/x
  3. Step 3: Cross multiply
    165,086.93x = 226,942.79 × 142,032
  4. Step 4: Simplify right side
    165,086.93x = 32,233,137,639.12
  5. Step 5: Solve for x
    x = 32,233,137,639.12/165,086.93
  6. Step 6: Final answer
    x = 195,249.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.