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Finding the Fourth Proportional to 132,092.82, 182,297.16 and 74,732.22

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Solution

The fourth proportional to 132,092.82, 182,297.16 and 74,732.22 is: 103,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,092.82 : 182,297.16 = 74,732.22 : x
  2. Step 2: Convert to fraction form
    132,092.82/182,297.16 = 74,732.22/x
  3. Step 3: Cross multiply
    132,092.82x = 182,297.16 × 74,732.22
  4. Step 4: Simplify right side
    132,092.82x = 13,623,471,466.50
  5. Step 5: Solve for x
    x = 13,623,471,466.50/132,092.82
  6. Step 6: Final answer
    x = 103,135.59

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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.