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Finding the Fourth Proportional to 132,145.69, 182,361.14 and 71,716.31

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Solution

The fourth proportional to 132,145.69, 182,361.14 and 71,716.31 is: 98,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,145.69 : 182,361.14 = 71,716.31 : x
  2. Step 2: Convert to fraction form
    132,145.69/182,361.14 = 71,716.31/x
  3. Step 3: Cross multiply
    132,145.69x = 182,361.14 × 71,716.31
  4. Step 4: Simplify right side
    132,145.69x = 13,078,269,198.68
  5. Step 5: Solve for x
    x = 13,078,269,198.68/132,145.69
  6. Step 6: Final answer
    x = 98,968.57

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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.