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Finding the Fourth Proportional to 199,713.84, 275,604.84 and 110,289.84

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Solution

The fourth proportional to 199,713.84, 275,604.84 and 110,289.84 is: 152,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,713.84 : 275,604.84 = 110,289.84 : x
  2. Step 2: Convert to fraction form
    199,713.84/275,604.84 = 110,289.84/x
  3. Step 3: Cross multiply
    199,713.84x = 275,604.84 × 110,289.84
  4. Step 4: Simplify right side
    199,713.84x = 30,396,413,706.83
  5. Step 5: Solve for x
    x = 30,396,413,706.83/199,713.84
  6. Step 6: Final answer
    x = 152,199.84

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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.