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Finding the Fourth Proportional to 262,783.84, 394,183.92 and 102,853.60

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Solution

The fourth proportional to 262,783.84, 394,183.92 and 102,853.60 is: 154,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,783.84 : 394,183.92 = 102,853.60 : x
  2. Step 2: Convert to fraction form
    262,783.84/394,183.92 = 102,853.60/x
  3. Step 3: Cross multiply
    262,783.84x = 394,183.92 × 102,853.60
  4. Step 4: Simplify right side
    262,783.84x = 40,543,235,234.11
  5. Step 5: Solve for x
    x = 40,543,235,234.11/262,783.84
  6. Step 6: Final answer
    x = 154,283.59

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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.