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Finding the Fourth Proportional to 233,915.26, 322,778.84 and 172,694.03

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Solution

The fourth proportional to 233,915.26, 322,778.84 and 172,694.03 is: 238,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,915.26 : 322,778.84 = 172,694.03 : x
  2. Step 2: Convert to fraction form
    233,915.26/322,778.84 = 172,694.03/x
  3. Step 3: Cross multiply
    233,915.26x = 322,778.84 × 172,694.03
  4. Step 4: Simplify right side
    233,915.26x = 55,741,976,443.81
  5. Step 5: Solve for x
    x = 55,741,976,443.81/233,915.26
  6. Step 6: Final answer
    x = 238,299.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.