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Finding the Fourth Proportional to 204,528.30, 306,932.52 and 71,408.52

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Solution

The fourth proportional to 204,528.30, 306,932.52 and 71,408.52 is: 107,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,528.30 : 306,932.52 = 71,408.52 : x
  2. Step 2: Convert to fraction form
    204,528.30/306,932.52 = 71,408.52/x
  3. Step 3: Cross multiply
    204,528.30x = 306,932.52 × 71,408.52
  4. Step 4: Simplify right side
    204,528.30x = 21,917,596,993.07
  5. Step 5: Solve for x
    x = 21,917,596,993.07/204,528.30
  6. Step 6: Final answer
    x = 107,161.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.