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Finding the Fourth Proportional to 200,854.20, 277,187.49 and 120,266.34

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Solution

The fourth proportional to 200,854.20, 277,187.49 and 120,266.34 is: 165,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,854.20 : 277,187.49 = 120,266.34 : x
  2. Step 2: Convert to fraction form
    200,854.20/277,187.49 = 120,266.34/x
  3. Step 3: Cross multiply
    200,854.20x = 277,187.49 × 120,266.34
  4. Step 4: Simplify right side
    200,854.20x = 33,336,324,916.09
  5. Step 5: Solve for x
    x = 33,336,324,916.09/200,854.20
  6. Step 6: Final answer
    x = 165,972.75

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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.