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Finding the Fourth Proportional to 215,580.92, 323,292.54 and 82,395.32

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Solution

The fourth proportional to 215,580.92, 323,292.54 and 82,395.32 is: 123,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,580.92 : 323,292.54 = 82,395.32 : x
  2. Step 2: Convert to fraction form
    215,580.92/323,292.54 = 82,395.32/x
  3. Step 3: Cross multiply
    215,580.92x = 323,292.54 × 82,395.32
  4. Step 4: Simplify right side
    215,580.92x = 26,637,792,286.91
  5. Step 5: Solve for x
    x = 26,637,792,286.91/215,580.92
  6. Step 6: Final answer
    x = 123,562.85

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Why These Related Problems?

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