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Finding the Fourth Proportional to 282,163.94, 389,391.10 and 154,851.38

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Solution

The fourth proportional to 282,163.94, 389,391.10 and 154,851.38 is: 213,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,163.94 : 389,391.10 = 154,851.38 : x
  2. Step 2: Convert to fraction form
    282,163.94/389,391.10 = 154,851.38/x
  3. Step 3: Cross multiply
    282,163.94x = 389,391.10 × 154,851.38
  4. Step 4: Simplify right side
    282,163.94x = 60,297,749,194.72
  5. Step 5: Solve for x
    x = 60,297,749,194.72/282,163.94
  6. Step 6: Final answer
    x = 213,697.57

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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.