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Finding the Fourth Proportional to 199,856.65, 299,777.84 and 50,098.18

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Solution

The fourth proportional to 199,856.65, 299,777.84 and 50,098.18 is: 75,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,856.65 : 299,777.84 = 50,098.18 : x
  2. Step 2: Convert to fraction form
    199,856.65/299,777.84 = 50,098.18/x
  3. Step 3: Cross multiply
    199,856.65x = 299,777.84 × 50,098.18
  4. Step 4: Simplify right side
    199,856.65x = 15,018,324,188.33
  5. Step 5: Solve for x
    x = 15,018,324,188.33/199,856.65
  6. Step 6: Final answer
    x = 75,145.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.