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Finding the Fourth Proportional to 262,725.30, 394,086.24 and 102,817.44

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Solution

The fourth proportional to 262,725.30, 394,086.24 and 102,817.44 is: 154,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,725.30 : 394,086.24 = 102,817.44 : x
  2. Step 2: Convert to fraction form
    262,725.30/394,086.24 = 102,817.44/x
  3. Step 3: Cross multiply
    262,725.30x = 394,086.24 × 102,817.44
  4. Step 4: Simplify right side
    262,725.30x = 40,518,938,336.03
  5. Step 5: Solve for x
    x = 40,518,938,336.03/262,725.30
  6. Step 6: Final answer
    x = 154,225.49

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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.