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Finding the Fourth Proportional to 381,262.72, 571,896.24 and 100,777

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Solution

The fourth proportional to 381,262.72, 571,896.24 and 100,777 is: 151,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,262.72 : 571,896.24 = 100,777 : x
  2. Step 2: Convert to fraction form
    381,262.72/571,896.24 = 100,777/x
  3. Step 3: Cross multiply
    381,262.72x = 571,896.24 × 100,777
  4. Step 4: Simplify right side
    381,262.72x = 57,633,987,378.48
  5. Step 5: Solve for x
    x = 57,633,987,378.48/381,262.72
  6. Step 6: Final answer
    x = 151,166.07

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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.