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Finding the Fourth Proportional to 205,471.55, 308,305.07 and 142,388.75

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Solution

The fourth proportional to 205,471.55, 308,305.07 and 142,388.75 is: 213,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,471.55 : 308,305.07 = 142,388.75 : x
  2. Step 2: Convert to fraction form
    205,471.55/308,305.07 = 142,388.75/x
  3. Step 3: Cross multiply
    205,471.55x = 308,305.07 × 142,388.75
  4. Step 4: Simplify right side
    205,471.55x = 43,899,171,282.49
  5. Step 5: Solve for x
    x = 43,899,171,282.49/205,471.55
  6. Step 6: Final answer
    x = 213,650.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.