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Finding the Fourth Proportional to 106,383.36, 146,652.12 and 68,138.40

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Solution

The fourth proportional to 106,383.36, 146,652.12 and 68,138.40 is: 93,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.36 : 146,652.12 = 68,138.40 : x
  2. Step 2: Convert to fraction form
    106,383.36/146,652.12 = 68,138.40/x
  3. Step 3: Cross multiply
    106,383.36x = 146,652.12 × 68,138.40
  4. Step 4: Simplify right side
    106,383.36x = 9,992,640,813.41
  5. Step 5: Solve for x
    x = 9,992,640,813.41/106,383.36
  6. Step 6: Final answer
    x = 93,930.49

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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.