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Finding the Fourth Proportional to 199,822.98, 275,752.50 and 109,177

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Solution

The fourth proportional to 199,822.98, 275,752.50 and 109,177 is: 150,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,822.98 : 275,752.50 = 109,177 : x
  2. Step 2: Convert to fraction form
    199,822.98/275,752.50 = 109,177/x
  3. Step 3: Cross multiply
    199,822.98x = 275,752.50 × 109,177
  4. Step 4: Simplify right side
    199,822.98x = 30,105,830,692.50
  5. Step 5: Solve for x
    x = 30,105,830,692.50/199,822.98
  6. Step 6: Final answer
    x = 150,662.50

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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.