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Finding the Fourth Proportional to 204,576.16, 282,234 and 125,134.24

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Solution

The fourth proportional to 204,576.16, 282,234 and 125,134.24 is: 172,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,576.16 : 282,234 = 125,134.24 : x
  2. Step 2: Convert to fraction form
    204,576.16/282,234 = 125,134.24/x
  3. Step 3: Cross multiply
    204,576.16x = 282,234 × 125,134.24
  4. Step 4: Simplify right side
    204,576.16x = 35,317,137,092.16
  5. Step 5: Solve for x
    x = 35,317,137,092.16/204,576.16
  6. Step 6: Final answer
    x = 172,635.64

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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.