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Finding the Fourth Proportional to 199,966.92, 299,840.22 and 66,777

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Solution

The fourth proportional to 199,966.92, 299,840.22 and 66,777 is: 100,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,966.92 : 299,840.22 = 66,777 : x
  2. Step 2: Convert to fraction form
    199,966.92/299,840.22 = 66,777/x
  3. Step 3: Cross multiply
    199,966.92x = 299,840.22 × 66,777
  4. Step 4: Simplify right side
    199,966.92x = 20,022,430,370.94
  5. Step 5: Solve for x
    x = 20,022,430,370.94/199,966.92
  6. Step 6: Final answer
    x = 100,128.71

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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.