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Finding the Fourth Proportional to 216,767.24, 324,975.82 and 199,271.24

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Solution

The fourth proportional to 216,767.24, 324,975.82 and 199,271.24 is: 298,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,767.24 : 324,975.82 = 199,271.24 : x
  2. Step 2: Convert to fraction form
    216,767.24/324,975.82 = 199,271.24/x
  3. Step 3: Cross multiply
    216,767.24x = 324,975.82 × 199,271.24
  4. Step 4: Simplify right side
    216,767.24x = 64,758,334,621.42
  5. Step 5: Solve for x
    x = 64,758,334,621.42/216,767.24
  6. Step 6: Final answer
    x = 298,745.95

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Why These Related Problems?

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