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Finding the Fourth Proportional to 204,558.43, 282,297.06 and 112,684.38

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Solution

The fourth proportional to 204,558.43, 282,297.06 and 112,684.38 is: 155,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,558.43 : 282,297.06 = 112,684.38 : x
  2. Step 2: Convert to fraction form
    204,558.43/282,297.06 = 112,684.38/x
  3. Step 3: Cross multiply
    204,558.43x = 282,297.06 × 112,684.38
  4. Step 4: Simplify right side
    204,558.43x = 31,810,469,887.67
  5. Step 5: Solve for x
    x = 31,810,469,887.67/204,558.43
  6. Step 6: Final answer
    x = 155,507.99

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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.