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Finding the Fourth Proportional to 130,286.88, 195,469.20 and 74,844

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Solution

The fourth proportional to 130,286.88, 195,469.20 and 74,844 is: 112,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,286.88 : 195,469.20 = 74,844 : x
  2. Step 2: Convert to fraction form
    130,286.88/195,469.20 = 74,844/x
  3. Step 3: Cross multiply
    130,286.88x = 195,469.20 × 74,844
  4. Step 4: Simplify right side
    130,286.88x = 14,629,696,804.80
  5. Step 5: Solve for x
    x = 14,629,696,804.80/130,286.88
  6. Step 6: Final answer
    x = 112,288.33

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