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Finding the Fourth Proportional to 146,896, 202,716.48 and 79,828

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Solution

The fourth proportional to 146,896, 202,716.48 and 79,828 is: 110,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,896 : 202,716.48 = 79,828 : x
  2. Step 2: Convert to fraction form
    146,896/202,716.48 = 79,828/x
  3. Step 3: Cross multiply
    146,896x = 202,716.48 × 79,828
  4. Step 4: Simplify right side
    146,896x = 16,182,451,165.44
  5. Step 5: Solve for x
    x = 16,182,451,165.44/146,896
  6. Step 6: Final answer
    x = 110,162.64

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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.