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Finding the Fourth Proportional to 199,865.37, 275,817.84 and 109,225.17

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Solution

The fourth proportional to 199,865.37, 275,817.84 and 109,225.17 is: 150,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,865.37 : 275,817.84 = 109,225.17 : x
  2. Step 2: Convert to fraction form
    199,865.37/275,817.84 = 109,225.17/x
  3. Step 3: Cross multiply
    199,865.37x = 275,817.84 × 109,225.17
  4. Step 4: Simplify right side
    199,865.37x = 30,126,250,463.03
  5. Step 5: Solve for x
    x = 30,126,250,463.03/199,865.37
  6. Step 6: Final answer
    x = 150,732.72

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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.