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Finding the Fourth Proportional to 199,858.92, 275,778.75 and 128,335.83

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Solution

The fourth proportional to 199,858.92, 275,778.75 and 128,335.83 is: 177,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,858.92 : 275,778.75 = 128,335.83 : x
  2. Step 2: Convert to fraction form
    199,858.92/275,778.75 = 128,335.83/x
  3. Step 3: Cross multiply
    199,858.92x = 275,778.75 × 128,335.83
  4. Step 4: Simplify right side
    199,858.92x = 35,392,294,777.61
  5. Step 5: Solve for x
    x = 35,392,294,777.61/199,858.92
  6. Step 6: Final answer
    x = 177,086.39

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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.