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Finding the Fourth Proportional to 231,773.76, 347,738.40 and 74,024.64

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Solution

The fourth proportional to 231,773.76, 347,738.40 and 74,024.64 is: 111,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,773.76 : 347,738.40 = 74,024.64 : x
  2. Step 2: Convert to fraction form
    231,773.76/347,738.40 = 74,024.64/x
  3. Step 3: Cross multiply
    231,773.76x = 347,738.40 × 74,024.64
  4. Step 4: Simplify right side
    231,773.76x = 25,741,209,874.18
  5. Step 5: Solve for x
    x = 25,741,209,874.18/231,773.76
  6. Step 6: Final answer
    x = 111,061.80

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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.