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Finding the Fourth Proportional to 224,321.84, 336,546.32 and 91,297.57

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Solution

The fourth proportional to 224,321.84, 336,546.32 and 91,297.57 is: 136,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,321.84 : 336,546.32 = 91,297.57 : x
  2. Step 2: Convert to fraction form
    224,321.84/336,546.32 = 91,297.57/x
  3. Step 3: Cross multiply
    224,321.84x = 336,546.32 × 91,297.57
  4. Step 4: Simplify right side
    224,321.84x = 30,725,861,208.44
  5. Step 5: Solve for x
    x = 30,725,861,208.44/224,321.84
  6. Step 6: Final answer
    x = 136,972.22

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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.