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Finding the Fourth Proportional to 254,793.66, 382,198.53 and 65,255.22

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Solution

The fourth proportional to 254,793.66, 382,198.53 and 65,255.22 is: 97,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,793.66 : 382,198.53 = 65,255.22 : x
  2. Step 2: Convert to fraction form
    254,793.66/382,198.53 = 65,255.22/x
  3. Step 3: Cross multiply
    254,793.66x = 382,198.53 × 65,255.22
  4. Step 4: Simplify right side
    254,793.66x = 24,940,449,158.83
  5. Step 5: Solve for x
    x = 24,940,449,158.83/254,793.66
  6. Step 6: Final answer
    x = 97,884.89

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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.