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Finding the Fourth Proportional to 199,852.84, 275,793.60 and 109,206.87

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Solution

The fourth proportional to 199,852.84, 275,793.60 and 109,206.87 is: 150,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,852.84 : 275,793.60 = 109,206.87 : x
  2. Step 2: Convert to fraction form
    199,852.84/275,793.60 = 109,206.87/x
  3. Step 3: Cross multiply
    199,852.84x = 275,793.60 × 109,206.87
  4. Step 4: Simplify right side
    199,852.84x = 30,118,555,822.03
  5. Step 5: Solve for x
    x = 30,118,555,822.03/199,852.84
  6. Step 6: Final answer
    x = 150,703.67

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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.