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Finding the Fourth Proportional to 200,850.34, 277,198.05 and 115,967.26

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Solution

The fourth proportional to 200,850.34, 277,198.05 and 115,967.26 is: 160,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,850.34 : 277,198.05 = 115,967.26 : x
  2. Step 2: Convert to fraction form
    200,850.34/277,198.05 = 115,967.26/x
  3. Step 3: Cross multiply
    200,850.34x = 277,198.05 × 115,967.26
  4. Step 4: Simplify right side
    200,850.34x = 32,145,898,335.84
  5. Step 5: Solve for x
    x = 32,145,898,335.84/200,850.34
  6. Step 6: Final answer
    x = 160,049.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.