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Finding the Fourth Proportional to 204,576.98, 282,239.82 and 204,261.57

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Solution

The fourth proportional to 204,576.98, 282,239.82 and 204,261.57 is: 281,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,576.98 : 282,239.82 = 204,261.57 : x
  2. Step 2: Convert to fraction form
    204,576.98/282,239.82 = 204,261.57/x
  3. Step 3: Cross multiply
    204,576.98x = 282,239.82 × 204,261.57
  4. Step 4: Simplify right side
    204,576.98x = 57,650,748,749.72
  5. Step 5: Solve for x
    x = 57,650,748,749.72/204,576.98
  6. Step 6: Final answer
    x = 281,804.68

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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.