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Finding the Fourth Proportional to 204,013.40, 305,874.30 and 91,601.60

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Solution

The fourth proportional to 204,013.40, 305,874.30 and 91,601.60 is: 137,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,013.40 : 305,874.30 = 91,601.60 : x
  2. Step 2: Convert to fraction form
    204,013.40/305,874.30 = 91,601.60/x
  3. Step 3: Cross multiply
    204,013.40x = 305,874.30 × 91,601.60
  4. Step 4: Simplify right side
    204,013.40x = 28,018,575,278.88
  5. Step 5: Solve for x
    x = 28,018,575,278.88/204,013.40
  6. Step 6: Final answer
    x = 137,336.94

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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.