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Finding the Fourth Proportional to 149,286.51, 205,993.94 and 106,377.57

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Solution

The fourth proportional to 149,286.51, 205,993.94 and 106,377.57 is: 146,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,286.51 : 205,993.94 = 106,377.57 : x
  2. Step 2: Convert to fraction form
    149,286.51/205,993.94 = 106,377.57/x
  3. Step 3: Cross multiply
    149,286.51x = 205,993.94 × 106,377.57
  4. Step 4: Simplify right side
    149,286.51x = 21,913,134,240.04
  5. Step 5: Solve for x
    x = 21,913,134,240.04/149,286.51
  6. Step 6: Final answer
    x = 146,785.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.