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Finding the Fourth Proportional to 222,452.16, 333,470.88 and 111,514.56

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Solution

The fourth proportional to 222,452.16, 333,470.88 and 111,514.56 is: 167,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,452.16 : 333,470.88 = 111,514.56 : x
  2. Step 2: Convert to fraction form
    222,452.16/333,470.88 = 111,514.56/x
  3. Step 3: Cross multiply
    222,452.16x = 333,470.88 × 111,514.56
  4. Step 4: Simplify right side
    222,452.16x = 37,186,858,456.01
  5. Step 5: Solve for x
    x = 37,186,858,456.01/222,452.16
  6. Step 6: Final answer
    x = 167,167.89

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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.