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Finding the Fourth Proportional to 221,576.50, 332,364.75 and 55,364.50

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Solution

The fourth proportional to 221,576.50, 332,364.75 and 55,364.50 is: 83,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,576.50 : 332,364.75 = 55,364.50 : x
  2. Step 2: Convert to fraction form
    221,576.50/332,364.75 = 55,364.50/x
  3. Step 3: Cross multiply
    221,576.50x = 332,364.75 × 55,364.50
  4. Step 4: Simplify right side
    221,576.50x = 18,401,208,201.38
  5. Step 5: Solve for x
    x = 18,401,208,201.38/221,576.50
  6. Step 6: Final answer
    x = 83,046.75

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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.