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Finding the Fourth Proportional to 231,993.06, 347,915.48 and 74,184

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Solution

The fourth proportional to 231,993.06, 347,915.48 and 74,184 is: 111,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,993.06 : 347,915.48 = 74,184 : x
  2. Step 2: Convert to fraction form
    231,993.06/347,915.48 = 74,184/x
  3. Step 3: Cross multiply
    231,993.06x = 347,915.48 × 74,184
  4. Step 4: Simplify right side
    231,993.06x = 25,809,761,597.40
  5. Step 5: Solve for x
    x = 25,809,761,597.40/231,993.06
  6. Step 6: Final answer
    x = 111,252.30

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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.