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Finding the Fourth Proportional to 200,916.36, 277,273.26 and 120,357

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Solution

The fourth proportional to 200,916.36, 277,273.26 and 120,357 is: 166,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916.36 : 277,273.26 = 120,357 : x
  2. Step 2: Convert to fraction form
    200,916.36/277,273.26 = 120,357/x
  3. Step 3: Cross multiply
    200,916.36x = 277,273.26 × 120,357
  4. Step 4: Simplify right side
    200,916.36x = 33,371,777,753.82
  5. Step 5: Solve for x
    x = 33,371,777,753.82/200,916.36
  6. Step 6: Final answer
    x = 166,097.86

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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.