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Finding the Fourth Proportional to 264,891.89, 365,551.25 and 144,033.08

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Solution

The fourth proportional to 264,891.89, 365,551.25 and 144,033.08 is: 198,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,891.89 : 365,551.25 = 144,033.08 : x
  2. Step 2: Convert to fraction form
    264,891.89/365,551.25 = 144,033.08/x
  3. Step 3: Cross multiply
    264,891.89x = 365,551.25 × 144,033.08
  4. Step 4: Simplify right side
    264,891.89x = 52,651,469,887.43
  5. Step 5: Solve for x
    x = 52,651,469,887.43/264,891.89
  6. Step 6: Final answer
    x = 198,765.88

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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.