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Finding the Fourth Proportional to 200,221.73, 276,306.77 and 128,602.37

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Solution

The fourth proportional to 200,221.73, 276,306.77 and 128,602.37 is: 177,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,221.73 : 276,306.77 = 128,602.37 : x
  2. Step 2: Convert to fraction form
    200,221.73/276,306.77 = 128,602.37/x
  3. Step 3: Cross multiply
    200,221.73x = 276,306.77 × 128,602.37
  4. Step 4: Simplify right side
    200,221.73x = 35,533,705,469.04
  5. Step 5: Solve for x
    x = 35,533,705,469.04/200,221.73
  6. Step 6: Final answer
    x = 177,471.77

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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.