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Finding the Fourth Proportional to 307,160.54, 460,709.66 and 82,491.78

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Solution

The fourth proportional to 307,160.54, 460,709.66 and 82,491.78 is: 123,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,160.54 : 460,709.66 = 82,491.78 : x
  2. Step 2: Convert to fraction form
    307,160.54/460,709.66 = 82,491.78/x
  3. Step 3: Cross multiply
    307,160.54x = 460,709.66 × 82,491.78
  4. Step 4: Simplify right side
    307,160.54x = 38,004,760,122.82
  5. Step 5: Solve for x
    x = 38,004,760,122.82/307,160.54
  6. Step 6: Final answer
    x = 123,729.31

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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.