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Finding the Fourth Proportional to 177,079.27, 265,474.17 and 82,368.50

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Solution

The fourth proportional to 177,079.27, 265,474.17 and 82,368.50 is: 123,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,079.27 : 265,474.17 = 82,368.50 : x
  2. Step 2: Convert to fraction form
    177,079.27/265,474.17 = 82,368.50/x
  3. Step 3: Cross multiply
    177,079.27x = 265,474.17 × 82,368.50
  4. Step 4: Simplify right side
    177,079.27x = 21,866,708,759.80
  5. Step 5: Solve for x
    x = 21,866,708,759.80/177,079.27
  6. Step 6: Final answer
    x = 123,485.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.