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Finding the Fourth Proportional to 221,842.08, 332,451.84 and 147,814.56

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Solution

The fourth proportional to 221,842.08, 332,451.84 and 147,814.56 is: 221,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,842.08 : 332,451.84 = 147,814.56 : x
  2. Step 2: Convert to fraction form
    221,842.08/332,451.84 = 147,814.56/x
  3. Step 3: Cross multiply
    221,842.08x = 332,451.84 × 147,814.56
  4. Step 4: Simplify right side
    221,842.08x = 49,141,222,450.79
  5. Step 5: Solve for x
    x = 49,141,222,450.79/221,842.08
  6. Step 6: Final answer
    x = 221,514.43

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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.