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Finding the Fourth Proportional to 226,915.76, 313,229.44 and 178,391.10

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Solution

The fourth proportional to 226,915.76, 313,229.44 and 178,391.10 is: 246,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,915.76 : 313,229.44 = 178,391.10 : x
  2. Step 2: Convert to fraction form
    226,915.76/313,229.44 = 178,391.10/x
  3. Step 3: Cross multiply
    226,915.76x = 313,229.44 × 178,391.10
  4. Step 4: Simplify right side
    226,915.76x = 55,877,344,353.98
  5. Step 5: Solve for x
    x = 55,877,344,353.98/226,915.76
  6. Step 6: Final answer
    x = 246,247.08

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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.