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Finding the Fourth Proportional to 203,611.98, 280,979.16 and 111,730.98

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Solution

The fourth proportional to 203,611.98, 280,979.16 and 111,730.98 is: 154,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,611.98 : 280,979.16 = 111,730.98 : x
  2. Step 2: Convert to fraction form
    203,611.98/280,979.16 = 111,730.98/x
  3. Step 3: Cross multiply
    203,611.98x = 280,979.16 × 111,730.98
  4. Step 4: Simplify right side
    203,611.98x = 31,394,076,906.38
  5. Step 5: Solve for x
    x = 31,394,076,906.38/203,611.98
  6. Step 6: Final answer
    x = 154,185.80

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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.