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Finding the Fourth Proportional to 200,996.78, 277,321.37 and 114,938.01

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Solution

The fourth proportional to 200,996.78, 277,321.37 and 114,938.01 is: 158,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,996.78 : 277,321.37 = 114,938.01 : x
  2. Step 2: Convert to fraction form
    200,996.78/277,321.37 = 114,938.01/x
  3. Step 3: Cross multiply
    200,996.78x = 277,321.37 × 114,938.01
  4. Step 4: Simplify right side
    200,996.78x = 31,874,765,823.58
  5. Step 5: Solve for x
    x = 31,874,765,823.58/200,996.78
  6. Step 6: Final answer
    x = 158,583.47

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Why These Related Problems?

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