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Finding the Fourth Proportional to 307,164.73, 460,715.94 and 82,495.96

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Solution

The fourth proportional to 307,164.73, 460,715.94 and 82,495.96 is: 123,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,164.73 : 460,715.94 = 82,495.96 : x
  2. Step 2: Convert to fraction form
    307,164.73/460,715.94 = 82,495.96/x
  3. Step 3: Cross multiply
    307,164.73x = 460,715.94 × 82,495.96
  4. Step 4: Simplify right side
    307,164.73x = 38,007,203,757.60
  5. Step 5: Solve for x
    x = 38,007,203,757.60/307,164.73
  6. Step 6: Final answer
    x = 123,735.57

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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.