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Finding the Fourth Proportional to 195,553, 269,863.14 and 106,129

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Solution

The fourth proportional to 195,553, 269,863.14 and 106,129 is: 146,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,553 : 269,863.14 = 106,129 : x
  2. Step 2: Convert to fraction form
    195,553/269,863.14 = 106,129/x
  3. Step 3: Cross multiply
    195,553x = 269,863.14 × 106,129
  4. Step 4: Simplify right side
    195,553x = 28,640,305,185.06
  5. Step 5: Solve for x
    x = 28,640,305,185.06/195,553
  6. Step 6: Final answer
    x = 146,458.02

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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.