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Finding the Fourth Proportional to 233,311.44, 350,022.96 and 75,540

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Solution

The fourth proportional to 233,311.44, 350,022.96 and 75,540 is: 113,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311.44 : 350,022.96 = 75,540 : x
  2. Step 2: Convert to fraction form
    233,311.44/350,022.96 = 75,540/x
  3. Step 3: Cross multiply
    233,311.44x = 350,022.96 × 75,540
  4. Step 4: Simplify right side
    233,311.44x = 26,440,734,398.40
  5. Step 5: Solve for x
    x = 26,440,734,398.40/233,311.44
  6. Step 6: Final answer
    x = 113,328.07

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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.