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Finding the Fourth Proportional to 307,160.03, 460,708.91 and 82,491.28

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Solution

The fourth proportional to 307,160.03, 460,708.91 and 82,491.28 is: 123,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,160.03 : 460,708.91 = 82,491.28 : x
  2. Step 2: Convert to fraction form
    307,160.03/460,708.91 = 82,491.28/x
  3. Step 3: Cross multiply
    307,160.03x = 460,708.91 × 82,491.28
  4. Step 4: Simplify right side
    307,160.03x = 38,004,467,693.30
  5. Step 5: Solve for x
    x = 38,004,467,693.30/307,160.03
  6. Step 6: Final answer
    x = 123,728.56

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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.