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Finding the Fourth Proportional to 231,993.12, 347,932.88 and 74,188.88

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Solution

The fourth proportional to 231,993.12, 347,932.88 and 74,188.88 is: 111,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,993.12 : 347,932.88 = 74,188.88 : x
  2. Step 2: Convert to fraction form
    231,993.12/347,932.88 = 74,188.88/x
  3. Step 3: Cross multiply
    231,993.12x = 347,932.88 × 74,188.88
  4. Step 4: Simplify right side
    231,993.12x = 25,812,750,682.37
  5. Step 5: Solve for x
    x = 25,812,750,682.37/231,993.12
  6. Step 6: Final answer
    x = 111,265.16

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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.