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Finding the Fourth Proportional to 329,213.42, 493,859.68 and 115,937.25

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Solution

The fourth proportional to 329,213.42, 493,859.68 and 115,937.25 is: 173,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,213.42 : 493,859.68 = 115,937.25 : x
  2. Step 2: Convert to fraction form
    329,213.42/493,859.68 = 115,937.25/x
  3. Step 3: Cross multiply
    329,213.42x = 493,859.68 × 115,937.25
  4. Step 4: Simplify right side
    329,213.42x = 57,256,732,350.73
  5. Step 5: Solve for x
    x = 57,256,732,350.73/329,213.42
  6. Step 6: Final answer
    x = 173,919.80

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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.