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Finding the Fourth Proportional to 146,005.49, 219,015.41 and 71,189.58

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Solution

The fourth proportional to 146,005.49, 219,015.41 and 71,189.58 is: 106,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,005.49 : 219,015.41 = 71,189.58 : x
  2. Step 2: Convert to fraction form
    146,005.49/219,015.41 = 71,189.58/x
  3. Step 3: Cross multiply
    146,005.49x = 219,015.41 × 71,189.58
  4. Step 4: Simplify right side
    146,005.49x = 15,591,615,616.90
  5. Step 5: Solve for x
    x = 15,591,615,616.90/146,005.49
  6. Step 6: Final answer
    x = 106,787.87

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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.