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Finding the Fourth Proportional to 129,879.27, 194,830.01 and 45,632.11

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Solution

The fourth proportional to 129,879.27, 194,830.01 and 45,632.11 is: 68,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,879.27 : 194,830.01 = 45,632.11 : x
  2. Step 2: Convert to fraction form
    129,879.27/194,830.01 = 45,632.11/x
  3. Step 3: Cross multiply
    129,879.27x = 194,830.01 × 45,632.11
  4. Step 4: Simplify right side
    129,879.27x = 8,890,504,447.62
  5. Step 5: Solve for x
    x = 8,890,504,447.62/129,879.27
  6. Step 6: Final answer
    x = 68,452.07

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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.