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Finding the Fourth Proportional to 181,286.10, 271,965.60 and 151,907.40

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Solution

The fourth proportional to 181,286.10, 271,965.60 and 151,907.40 is: 227,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,286.10 : 271,965.60 = 151,907.40 : x
  2. Step 2: Convert to fraction form
    181,286.10/271,965.60 = 151,907.40/x
  3. Step 3: Cross multiply
    181,286.10x = 271,965.60 × 151,907.40
  4. Step 4: Simplify right side
    181,286.10x = 41,313,587,185.44
  5. Step 5: Solve for x
    x = 41,313,587,185.44/181,286.10
  6. Step 6: Final answer
    x = 227,891.64

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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.