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Finding the Fourth Proportional to 199,658.55, 275,539.97 and 109,022.95

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Solution

The fourth proportional to 199,658.55, 275,539.97 and 109,022.95 is: 150,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.55 : 275,539.97 = 109,022.95 : x
  2. Step 2: Convert to fraction form
    199,658.55/275,539.97 = 109,022.95/x
  3. Step 3: Cross multiply
    199,658.55x = 275,539.97 × 109,022.95
  4. Step 4: Simplify right side
    199,658.55x = 30,040,180,372.31
  5. Step 5: Solve for x
    x = 30,040,180,372.31/199,658.55
  6. Step 6: Final answer
    x = 150,457.77

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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.