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Finding the Fourth Proportional to 204,704.88, 282,553.56 and 129,303.60

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Solution

The fourth proportional to 204,704.88, 282,553.56 and 129,303.60 is: 178,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,704.88 : 282,553.56 = 129,303.60 : x
  2. Step 2: Convert to fraction form
    204,704.88/282,553.56 = 129,303.60/x
  3. Step 3: Cross multiply
    204,704.88x = 282,553.56 × 129,303.60
  4. Step 4: Simplify right side
    204,704.88x = 36,535,192,500.82
  5. Step 5: Solve for x
    x = 36,535,192,500.82/204,704.88
  6. Step 6: Final answer
    x = 178,477.39

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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.