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Finding the Fourth Proportional to 221,924.64, 332,970.78 and 133,239.96

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Solution

The fourth proportional to 221,924.64, 332,970.78 and 133,239.96 is: 199,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,924.64 : 332,970.78 = 133,239.96 : x
  2. Step 2: Convert to fraction form
    221,924.64/332,970.78 = 133,239.96/x
  3. Step 3: Cross multiply
    221,924.64x = 332,970.78 × 133,239.96
  4. Step 4: Simplify right side
    221,924.64x = 44,365,013,408.37
  5. Step 5: Solve for x
    x = 44,365,013,408.37/221,924.64
  6. Step 6: Final answer
    x = 199,910.26

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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.