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Finding the Fourth Proportional to 216,093.91, 298,230.32 and 120,609.49

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Solution

The fourth proportional to 216,093.91, 298,230.32 and 120,609.49 is: 166,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,093.91 : 298,230.32 = 120,609.49 : x
  2. Step 2: Convert to fraction form
    216,093.91/298,230.32 = 120,609.49/x
  3. Step 3: Cross multiply
    216,093.91x = 298,230.32 × 120,609.49
  4. Step 4: Simplify right side
    216,093.91x = 35,969,404,703.54
  5. Step 5: Solve for x
    x = 35,969,404,703.54/216,093.91
  6. Step 6: Final answer
    x = 166,452.66

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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.