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Finding the Fourth Proportional to 132,165.40, 182,388.42 and 71,736.06

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Solution

The fourth proportional to 132,165.40, 182,388.42 and 71,736.06 is: 98,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,165.40 : 182,388.42 = 71,736.06 : x
  2. Step 2: Convert to fraction form
    132,165.40/182,388.42 = 71,736.06/x
  3. Step 3: Cross multiply
    132,165.40x = 182,388.42 × 71,736.06
  4. Step 4: Simplify right side
    132,165.40x = 13,083,826,640.43
  5. Step 5: Solve for x
    x = 13,083,826,640.43/132,165.40
  6. Step 6: Final answer
    x = 98,995.85

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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.