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Finding the Fourth Proportional to 233,732.55, 350,321.97 and 107,266.24

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Solution

The fourth proportional to 233,732.55, 350,321.97 and 107,266.24 is: 160,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,732.55 : 350,321.97 = 107,266.24 : x
  2. Step 2: Convert to fraction form
    233,732.55/350,321.97 = 107,266.24/x
  3. Step 3: Cross multiply
    233,732.55x = 350,321.97 × 107,266.24
  4. Step 4: Simplify right side
    233,732.55x = 37,577,718,759.68
  5. Step 5: Solve for x
    x = 37,577,718,759.68/233,732.55
  6. Step 6: Final answer
    x = 160,772.30

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1.5x scale

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.