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Finding the Fourth Proportional to 221,964.24, 332,937.54 and 122,322

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Solution

The fourth proportional to 221,964.24, 332,937.54 and 122,322 is: 183,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,964.24 : 332,937.54 = 122,322 : x
  2. Step 2: Convert to fraction form
    221,964.24/332,937.54 = 122,322/x
  3. Step 3: Cross multiply
    221,964.24x = 332,937.54 × 122,322
  4. Step 4: Simplify right side
    221,964.24x = 40,725,585,767.88
  5. Step 5: Solve for x
    x = 40,725,585,767.88/221,964.24
  6. Step 6: Final answer
    x = 183,478.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.