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Finding the Fourth Proportional to 146,358.54, 201,972.16 and 82,694.97

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Solution

The fourth proportional to 146,358.54, 201,972.16 and 82,694.97 is: 114,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,358.54 : 201,972.16 = 82,694.97 : x
  2. Step 2: Convert to fraction form
    146,358.54/201,972.16 = 82,694.97/x
  3. Step 3: Cross multiply
    146,358.54x = 201,972.16 × 82,694.97
  4. Step 4: Simplify right side
    146,358.54x = 16,702,081,505.30
  5. Step 5: Solve for x
    x = 16,702,081,505.30/146,358.54
  6. Step 6: Final answer
    x = 114,117.57

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Why These Related Problems?

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