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Finding the Fourth Proportional to 199,922.80, 275,900.84 and 109,284.80

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Solution

The fourth proportional to 199,922.80, 275,900.84 and 109,284.80 is: 150,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,922.80 : 275,900.84 = 109,284.80 : x
  2. Step 2: Convert to fraction form
    199,922.80/275,900.84 = 109,284.80/x
  3. Step 3: Cross multiply
    199,922.80x = 275,900.84 × 109,284.80
  4. Step 4: Simplify right side
    199,922.80x = 30,151,768,119.23
  5. Step 5: Solve for x
    x = 30,151,768,119.23/199,922.80
  6. Step 6: Final answer
    x = 150,817.06

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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.