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Finding the Fourth Proportional to 213,493.92, 294,636.87 and 117,998.55

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Solution

The fourth proportional to 213,493.92, 294,636.87 and 117,998.55 is: 162,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,493.92 : 294,636.87 = 117,998.55 : x
  2. Step 2: Convert to fraction form
    213,493.92/294,636.87 = 117,998.55/x
  3. Step 3: Cross multiply
    213,493.92x = 294,636.87 × 117,998.55
  4. Step 4: Simplify right side
    213,493.92x = 34,766,723,436.54
  5. Step 5: Solve for x
    x = 34,766,723,436.54/213,493.92
  6. Step 6: Final answer
    x = 162,846.43

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1.5x scale

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.