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Finding the Fourth Proportional to 221,732.91, 332,682.03 and 133,050.06

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Solution

The fourth proportional to 221,732.91, 332,682.03 and 133,050.06 is: 199,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,732.91 : 332,682.03 = 133,050.06 : x
  2. Step 2: Convert to fraction form
    221,732.91/332,682.03 = 133,050.06/x
  3. Step 3: Cross multiply
    221,732.91x = 332,682.03 × 133,050.06
  4. Step 4: Simplify right side
    221,732.91x = 44,263,364,052.42
  5. Step 5: Solve for x
    x = 44,263,364,052.42/221,732.91
  6. Step 6: Final answer
    x = 199,624.69

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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.