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Finding the Fourth Proportional to 204,722.88, 282,578.40 and 129,321.60

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Solution

The fourth proportional to 204,722.88, 282,578.40 and 129,321.60 is: 178,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,722.88 : 282,578.40 = 129,321.60 : x
  2. Step 2: Convert to fraction form
    204,722.88/282,578.40 = 129,321.60/x
  3. Step 3: Cross multiply
    204,722.88x = 282,578.40 × 129,321.60
  4. Step 4: Simplify right side
    204,722.88x = 36,543,490,813.44
  5. Step 5: Solve for x
    x = 36,543,490,813.44/204,722.88
  6. Step 6: Final answer
    x = 178,502.23

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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.