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Finding the Fourth Proportional to 199,410.24, 275,181.76 and 109,986.24

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Solution

The fourth proportional to 199,410.24, 275,181.76 and 109,986.24 is: 151,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,410.24 : 275,181.76 = 109,986.24 : x
  2. Step 2: Convert to fraction form
    199,410.24/275,181.76 = 109,986.24/x
  3. Step 3: Cross multiply
    199,410.24x = 275,181.76 × 109,986.24
  4. Step 4: Simplify right side
    199,410.24x = 30,266,207,098.98
  5. Step 5: Solve for x
    x = 30,266,207,098.98/199,410.24
  6. Step 6: Final answer
    x = 151,778.60

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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.