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Finding the Fourth Proportional to 204,023.20, 285,927.73 and 204,023.20

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Solution

The fourth proportional to 204,023.20, 285,927.73 and 204,023.20 is: 285,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023.20 : 285,927.73 = 204,023.20 : x
  2. Step 2: Convert to fraction form
    204,023.20/285,927.73 = 204,023.20/x
  3. Step 3: Cross multiply
    204,023.20x = 285,927.73 × 204,023.20
  4. Step 4: Simplify right side
    204,023.20x = 58,335,890,443.34
  5. Step 5: Solve for x
    x = 58,335,890,443.34/204,023.20
  6. Step 6: Final answer
    x = 285,927.73

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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.