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Finding the Fourth Proportional to 296,863.20, 445,294.80 and 164,152.80

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Solution

The fourth proportional to 296,863.20, 445,294.80 and 164,152.80 is: 246,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,863.20 : 445,294.80 = 164,152.80 : x
  2. Step 2: Convert to fraction form
    296,863.20/445,294.80 = 164,152.80/x
  3. Step 3: Cross multiply
    296,863.20x = 445,294.80 × 164,152.80
  4. Step 4: Simplify right side
    296,863.20x = 73,096,388,245.44
  5. Step 5: Solve for x
    x = 73,096,388,245.44/296,863.20
  6. Step 6: Final answer
    x = 246,229.20

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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.