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Finding the Fourth Proportional to 204,588.98, 282,256.38 and 204,273.58

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Solution

The fourth proportional to 204,588.98, 282,256.38 and 204,273.58 is: 281,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,588.98 : 282,256.38 = 204,273.58 : x
  2. Step 2: Convert to fraction form
    204,588.98/282,256.38 = 204,273.58/x
  3. Step 3: Cross multiply
    204,588.98x = 282,256.38 × 204,273.58
  4. Step 4: Simplify right side
    204,588.98x = 57,657,521,220.44
  5. Step 5: Solve for x
    x = 57,657,521,220.44/204,588.98
  6. Step 6: Final answer
    x = 281,821.25

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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.