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Finding the Fourth Proportional to 307,896.98, 461,889.56 and 94,682.77

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Solution

The fourth proportional to 307,896.98, 461,889.56 and 94,682.77 is: 142,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,896.98 : 461,889.56 = 94,682.77 : x
  2. Step 2: Convert to fraction form
    307,896.98/461,889.56 = 94,682.77/x
  3. Step 3: Cross multiply
    307,896.98x = 461,889.56 × 94,682.77
  4. Step 4: Simplify right side
    307,896.98x = 43,732,981,399.23
  5. Step 5: Solve for x
    x = 43,732,981,399.23/307,896.98
  6. Step 6: Final answer
    x = 142,037.71

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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.