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Finding the Fourth Proportional to 356,039.24, 534,146.22 and 106,721

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Solution

The fourth proportional to 356,039.24, 534,146.22 and 106,721 is: 160,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,039.24 : 534,146.22 = 106,721 : x
  2. Step 2: Convert to fraction form
    356,039.24/534,146.22 = 106,721/x
  3. Step 3: Cross multiply
    356,039.24x = 534,146.22 × 106,721
  4. Step 4: Simplify right side
    356,039.24x = 57,004,618,744.62
  5. Step 5: Solve for x
    x = 57,004,618,744.62/356,039.24
  6. Step 6: Final answer
    x = 160,107.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.