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Finding the Fourth Proportional to 146,298.62, 201,908.51 and 82,640.52

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Solution

The fourth proportional to 146,298.62, 201,908.51 and 82,640.52 is: 114,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,298.62 : 201,908.51 = 82,640.52 : x
  2. Step 2: Convert to fraction form
    146,298.62/201,908.51 = 82,640.52/x
  3. Step 3: Cross multiply
    146,298.62x = 201,908.51 × 82,640.52
  4. Step 4: Simplify right side
    146,298.62x = 16,685,823,845.62
  5. Step 5: Solve for x
    x = 16,685,823,845.62/146,298.62
  6. Step 6: Final answer
    x = 114,053.19

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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.