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Finding the Fourth Proportional to 322,805, 484,285.26 and 101,189

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Solution

The fourth proportional to 322,805, 484,285.26 and 101,189 is: 151,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,805 : 484,285.26 = 101,189 : x
  2. Step 2: Convert to fraction form
    322,805/484,285.26 = 101,189/x
  3. Step 3: Cross multiply
    322,805x = 484,285.26 × 101,189
  4. Step 4: Simplify right side
    322,805x = 49,004,341,174.14
  5. Step 5: Solve for x
    x = 49,004,341,174.14/322,805
  6. Step 6: Final answer
    x = 151,807.88

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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.