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Finding the Fourth Proportional to 200,918.36, 277,276.02 and 120,359

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Solution

The fourth proportional to 200,918.36, 277,276.02 and 120,359 is: 166,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918.36 : 277,276.02 = 120,359 : x
  2. Step 2: Convert to fraction form
    200,918.36/277,276.02 = 120,359/x
  3. Step 3: Cross multiply
    200,918.36x = 277,276.02 × 120,359
  4. Step 4: Simplify right side
    200,918.36x = 33,372,664,491.18
  5. Step 5: Solve for x
    x = 33,372,664,491.18/200,918.36
  6. Step 6: Final answer
    x = 166,100.62

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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.