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Finding the Fourth Proportional to 195,557.56, 269,869.38 and 106,133.56

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Solution

The fourth proportional to 195,557.56, 269,869.38 and 106,133.56 is: 146,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,557.56 : 269,869.38 = 106,133.56 : x
  2. Step 2: Convert to fraction form
    195,557.56/269,869.38 = 106,133.56/x
  3. Step 3: Cross multiply
    195,557.56x = 269,869.38 × 106,133.56
  4. Step 4: Simplify right side
    195,557.56x = 28,642,198,034.39
  5. Step 5: Solve for x
    x = 28,642,198,034.39/195,557.56
  6. Step 6: Final answer
    x = 146,464.28

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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.