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Finding the Fourth Proportional to 273,983.13, 411,007.91 and 96,453.81

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Solution

The fourth proportional to 273,983.13, 411,007.91 and 96,453.81 is: 144,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,983.13 : 411,007.91 = 96,453.81 : x
  2. Step 2: Convert to fraction form
    273,983.13/411,007.91 = 96,453.81/x
  3. Step 3: Cross multiply
    273,983.13x = 411,007.91 × 96,453.81
  4. Step 4: Simplify right side
    273,983.13x = 39,643,278,377.37
  5. Step 5: Solve for x
    x = 39,643,278,377.37/273,983.13
  6. Step 6: Final answer
    x = 144,692.41

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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.