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Finding the Fourth Proportional to 231,954.84, 347,945.94 and 74,170.98

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Solution

The fourth proportional to 231,954.84, 347,945.94 and 74,170.98 is: 111,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,954.84 : 347,945.94 = 74,170.98 : x
  2. Step 2: Convert to fraction form
    231,954.84/347,945.94 = 74,170.98/x
  3. Step 3: Cross multiply
    231,954.84x = 347,945.94 × 74,170.98
  4. Step 4: Simplify right side
    231,954.84x = 25,807,491,356.82
  5. Step 5: Solve for x
    x = 25,807,491,356.82/231,954.84
  6. Step 6: Final answer
    x = 111,260.84

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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.