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Finding the Fourth Proportional to 233,627.56, 350,496.42 and 75,843.88

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Solution

The fourth proportional to 233,627.56, 350,496.42 and 75,843.88 is: 113,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,627.56 : 350,496.42 = 75,843.88 : x
  2. Step 2: Convert to fraction form
    233,627.56/350,496.42 = 75,843.88/x
  3. Step 3: Cross multiply
    233,627.56x = 350,496.42 × 75,843.88
  4. Step 4: Simplify right side
    233,627.56x = 26,583,008,418.91
  5. Step 5: Solve for x
    x = 26,583,008,418.91/233,627.56
  6. Step 6: Final answer
    x = 113,783.70

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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.