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Finding the Fourth Proportional to 111,452.86, 167,177.12 and 27,211.65

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Solution

The fourth proportional to 111,452.86, 167,177.12 and 27,211.65 is: 40,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,452.86 : 167,177.12 = 27,211.65 : x
  2. Step 2: Convert to fraction form
    111,452.86/167,177.12 = 27,211.65/x
  3. Step 3: Cross multiply
    111,452.86x = 167,177.12 × 27,211.65
  4. Step 4: Simplify right side
    111,452.86x = 4,549,164,514.48
  5. Step 5: Solve for x
    x = 4,549,164,514.48/111,452.86
  6. Step 6: Final answer
    x = 40,816.94

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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.