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Finding the Fourth Proportional to 281,649.29, 422,474.57 and 68,416.25

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Solution

The fourth proportional to 281,649.29, 422,474.57 and 68,416.25 is: 102,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,649.29 : 422,474.57 = 68,416.25 : x
  2. Step 2: Convert to fraction form
    281,649.29/422,474.57 = 68,416.25/x
  3. Step 3: Cross multiply
    281,649.29x = 422,474.57 × 68,416.25
  4. Step 4: Simplify right side
    281,649.29x = 28,904,123,345.31
  5. Step 5: Solve for x
    x = 28,904,123,345.31/281,649.29
  6. Step 6: Final answer
    x = 102,624.52

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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.