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Finding the Fourth Proportional to 132,164.65, 182,382.32 and 71,734.00

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Solution

The fourth proportional to 132,164.65, 182,382.32 and 71,734.00 is: 98,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,164.65 : 182,382.32 = 71,734.00 : x
  2. Step 2: Convert to fraction form
    132,164.65/182,382.32 = 71,734.00/x
  3. Step 3: Cross multiply
    132,164.65x = 182,382.32 × 71,734.00
  4. Step 4: Simplify right side
    132,164.65x = 13,083,012,610.30
  5. Step 5: Solve for x
    x = 13,083,012,610.30/132,164.65
  6. Step 6: Final answer
    x = 98,990.26

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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.