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Finding the Fourth Proportional to 204,029.30, 285,874.30 and 204,029.30

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Solution

The fourth proportional to 204,029.30, 285,874.30 and 204,029.30 is: 285,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,029.30 : 285,874.30 = 204,029.30 : x
  2. Step 2: Convert to fraction form
    204,029.30/285,874.30 = 204,029.30/x
  3. Step 3: Cross multiply
    204,029.30x = 285,874.30 × 204,029.30
  4. Step 4: Simplify right side
    204,029.30x = 58,326,733,316.99
  5. Step 5: Solve for x
    x = 58,326,733,316.99/204,029.30
  6. Step 6: Final answer
    x = 285,874.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.