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Finding the Fourth Proportional to 82,096.76, 122,905.22 and 74,217.42

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Solution

The fourth proportional to 82,096.76, 122,905.22 and 74,217.42 is: 111,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,096.76 : 122,905.22 = 74,217.42 : x
  2. Step 2: Convert to fraction form
    82,096.76/122,905.22 = 74,217.42/x
  3. Step 3: Cross multiply
    82,096.76x = 122,905.22 × 74,217.42
  4. Step 4: Simplify right side
    82,096.76x = 9,121,707,961.85
  5. Step 5: Solve for x
    x = 9,121,707,961.85/82,096.76
  6. Step 6: Final answer
    x = 111,109.23

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1.5x scale

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.