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Finding the Fourth Proportional to 456,128.82, 684,229.50 and 136,257.21

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Solution

The fourth proportional to 456,128.82, 684,229.50 and 136,257.21 is: 204,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,128.82 : 684,229.50 = 136,257.21 : x
  2. Step 2: Convert to fraction form
    456,128.82/684,229.50 = 136,257.21/x
  3. Step 3: Cross multiply
    456,128.82x = 684,229.50 × 136,257.21
  4. Step 4: Simplify right side
    456,128.82x = 93,231,202,669.70
  5. Step 5: Solve for x
    x = 93,231,202,669.70/456,128.82
  6. Step 6: Final answer
    x = 204,396.65

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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.