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Finding the Fourth Proportional to 414,046.20, 621,142.20 and 147,961.20

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Solution

The fourth proportional to 414,046.20, 621,142.20 and 147,961.20 is: 221,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,046.20 : 621,142.20 = 147,961.20 : x
  2. Step 2: Convert to fraction form
    414,046.20/621,142.20 = 147,961.20/x
  3. Step 3: Cross multiply
    414,046.20x = 621,142.20 × 147,961.20
  4. Step 4: Simplify right side
    414,046.20x = 91,904,945,282.64
  5. Step 5: Solve for x
    x = 91,904,945,282.64/414,046.20
  6. Step 6: Final answer
    x = 221,967.85

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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.