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Finding the Fourth Proportional to 221,584.98, 332,243.82 and 103,282.86

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Solution

The fourth proportional to 221,584.98, 332,243.82 and 103,282.86 is: 154,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,584.98 : 332,243.82 = 103,282.86 : x
  2. Step 2: Convert to fraction form
    221,584.98/332,243.82 = 103,282.86/x
  3. Step 3: Cross multiply
    221,584.98x = 332,243.82 × 103,282.86
  4. Step 4: Simplify right side
    221,584.98x = 34,315,091,946.93
  5. Step 5: Solve for x
    x = 34,315,091,946.93/221,584.98
  6. Step 6: Final answer
    x = 154,861.99

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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.