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Finding the Fourth Proportional to 293,269.20, 404,716.20 and 159,133.20

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Solution

The fourth proportional to 293,269.20, 404,716.20 and 159,133.20 is: 219,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,269.20 : 404,716.20 = 159,133.20 : x
  2. Step 2: Convert to fraction form
    293,269.20/404,716.20 = 159,133.20/x
  3. Step 3: Cross multiply
    293,269.20x = 404,716.20 × 159,133.20
  4. Step 4: Simplify right side
    293,269.20x = 64,403,783,997.84
  5. Step 5: Solve for x
    x = 64,403,783,997.84/293,269.20
  6. Step 6: Final answer
    x = 219,606.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.