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Finding the Fourth Proportional to 146,964.06, 202,813.74 and 79,896.06

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Solution

The fourth proportional to 146,964.06, 202,813.74 and 79,896.06 is: 110,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,964.06 : 202,813.74 = 79,896.06 : x
  2. Step 2: Convert to fraction form
    146,964.06/202,813.74 = 79,896.06/x
  3. Step 3: Cross multiply
    146,964.06x = 202,813.74 × 79,896.06
  4. Step 4: Simplify right side
    146,964.06x = 16,204,018,739.86
  5. Step 5: Solve for x
    x = 16,204,018,739.86/146,964.06
  6. Step 6: Final answer
    x = 110,258.38

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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.