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Finding the Fourth Proportional to 190,755, 286,183.53 and 66,096

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Solution

The fourth proportional to 190,755, 286,183.53 and 66,096 is: 99,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,755 : 286,183.53 = 66,096 : x
  2. Step 2: Convert to fraction form
    190,755/286,183.53 = 66,096/x
  3. Step 3: Cross multiply
    190,755x = 286,183.53 × 66,096
  4. Step 4: Simplify right side
    190,755x = 18,915,586,598.88
  5. Step 5: Solve for x
    x = 18,915,586,598.88/190,755
  6. Step 6: Final answer
    x = 99,161.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.