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Finding the Fourth Proportional to 204,593, 282,261.88 and 204,277.56

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Solution

The fourth proportional to 204,593, 282,261.88 and 204,277.56 is: 281,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,593 : 282,261.88 = 204,277.56 : x
  2. Step 2: Convert to fraction form
    204,593/282,261.88 = 204,277.56/x
  3. Step 3: Cross multiply
    204,593x = 282,261.88 × 204,277.56
  4. Step 4: Simplify right side
    204,593x = 57,659,768,127.41
  5. Step 5: Solve for x
    x = 57,659,768,127.41/204,593
  6. Step 6: Final answer
    x = 281,826.69

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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.