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Finding the Fourth Proportional to 100,096.83, 138,183.57 and 57,647.16

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Solution

The fourth proportional to 100,096.83, 138,183.57 and 57,647.16 is: 79,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.83 : 138,183.57 = 57,647.16 : x
  2. Step 2: Convert to fraction form
    100,096.83/138,183.57 = 57,647.16/x
  3. Step 3: Cross multiply
    100,096.83x = 138,183.57 × 57,647.16
  4. Step 4: Simplify right side
    100,096.83x = 7,965,890,369.16
  5. Step 5: Solve for x
    x = 7,965,890,369.16/100,096.83
  6. Step 6: Final answer
    x = 79,581.84

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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.