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Finding the Fourth Proportional to 200,840.52, 300,940.98 and 106,067.16

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Solution

The fourth proportional to 200,840.52, 300,940.98 and 106,067.16 is: 158,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,840.52 : 300,940.98 = 106,067.16 : x
  2. Step 2: Convert to fraction form
    200,840.52/300,940.98 = 106,067.16/x
  3. Step 3: Cross multiply
    200,840.52x = 300,940.98 × 106,067.16
  4. Step 4: Simplify right side
    200,840.52x = 31,919,955,076.22
  5. Step 5: Solve for x
    x = 31,919,955,076.22/200,840.52
  6. Step 6: Final answer
    x = 158,931.85

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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.