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Finding the Fourth Proportional to 231,851.70, 347,745.15 and 74,096.10

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Solution

The fourth proportional to 231,851.70, 347,745.15 and 74,096.10 is: 111,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,851.70 : 347,745.15 = 74,096.10 : x
  2. Step 2: Convert to fraction form
    231,851.70/347,745.15 = 74,096.10/x
  3. Step 3: Cross multiply
    231,851.70x = 347,745.15 × 74,096.10
  4. Step 4: Simplify right side
    231,851.70x = 25,766,559,408.92
  5. Step 5: Solve for x
    x = 25,766,559,408.92/231,851.70
  6. Step 6: Final answer
    x = 111,133.80

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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.