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Finding the Fourth Proportional to 224,104, 336,213.60 and 76,360

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Solution

The fourth proportional to 224,104, 336,213.60 and 76,360 is: 114,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,104 : 336,213.60 = 76,360 : x
  2. Step 2: Convert to fraction form
    224,104/336,213.60 = 76,360/x
  3. Step 3: Cross multiply
    224,104x = 336,213.60 × 76,360
  4. Step 4: Simplify right side
    224,104x = 25,673,270,496
  5. Step 5: Solve for x
    x = 25,673,270,496/224,104
  6. Step 6: Final answer
    x = 114,559.63

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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.