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Finding the Fourth Proportional to 200,944.26, 277,306.56 and 110,308.68

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Solution

The fourth proportional to 200,944.26, 277,306.56 and 110,308.68 is: 152,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,944.26 : 277,306.56 = 110,308.68 : x
  2. Step 2: Convert to fraction form
    200,944.26/277,306.56 = 110,308.68/x
  3. Step 3: Cross multiply
    200,944.26x = 277,306.56 × 110,308.68
  4. Step 4: Simplify right side
    200,944.26x = 30,589,320,588.94
  5. Step 5: Solve for x
    x = 30,589,320,588.94/200,944.26
  6. Step 6: Final answer
    x = 152,227.89

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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.