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Finding the Fourth Proportional to 199,852.58, 275,797.28 and 109,208.54

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Solution

The fourth proportional to 199,852.58, 275,797.28 and 109,208.54 is: 150,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,852.58 : 275,797.28 = 109,208.54 : x
  2. Step 2: Convert to fraction form
    199,852.58/275,797.28 = 109,208.54/x
  3. Step 3: Cross multiply
    199,852.58x = 275,797.28 × 109,208.54
  4. Step 4: Simplify right side
    199,852.58x = 30,119,417,738.73
  5. Step 5: Solve for x
    x = 30,119,417,738.73/199,852.58
  6. Step 6: Final answer
    x = 150,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.