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Finding the Fourth Proportional to 82,704.42, 114,143 and 80,452.72

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Solution

The fourth proportional to 82,704.42, 114,143 and 80,452.72 is: 111,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,704.42 : 114,143 = 80,452.72 : x
  2. Step 2: Convert to fraction form
    82,704.42/114,143 = 80,452.72/x
  3. Step 3: Cross multiply
    82,704.42x = 114,143 × 80,452.72
  4. Step 4: Simplify right side
    82,704.42x = 9,183,114,818.96
  5. Step 5: Solve for x
    x = 9,183,114,818.96/82,704.42
  6. Step 6: Final answer
    x = 111,035.36

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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.