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Finding the Fourth Proportional to 106,150.81, 159,227.79 and 27,263.29

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Solution

The fourth proportional to 106,150.81, 159,227.79 and 27,263.29 is: 40,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,150.81 : 159,227.79 = 27,263.29 : x
  2. Step 2: Convert to fraction form
    106,150.81/159,227.79 = 27,263.29/x
  3. Step 3: Cross multiply
    106,150.81x = 159,227.79 × 27,263.29
  4. Step 4: Simplify right side
    106,150.81x = 4,341,073,414.83
  5. Step 5: Solve for x
    x = 4,341,073,414.83/106,150.81
  6. Step 6: Final answer
    x = 40,895.34

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Why These Related Problems?

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