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Finding the Fourth Proportional to 199,687.42, 275,566.48 and 109,043.11

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Solution

The fourth proportional to 199,687.42, 275,566.48 and 109,043.11 is: 150,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,687.42 : 275,566.48 = 109,043.11 : x
  2. Step 2: Convert to fraction form
    199,687.42/275,566.48 = 109,043.11/x
  3. Step 3: Cross multiply
    199,687.42x = 275,566.48 × 109,043.11
  4. Step 4: Simplify right side
    199,687.42x = 30,048,625,990.95
  5. Step 5: Solve for x
    x = 30,048,625,990.95/199,687.42
  6. Step 6: Final answer
    x = 150,478.31

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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.