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Finding the Fourth Proportional to 313,640.64, 470,540.16 and 136,104.48

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Solution

The fourth proportional to 313,640.64, 470,540.16 and 136,104.48 is: 204,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,640.64 : 470,540.16 = 136,104.48 : x
  2. Step 2: Convert to fraction form
    313,640.64/470,540.16 = 136,104.48/x
  3. Step 3: Cross multiply
    313,640.64x = 470,540.16 × 136,104.48
  4. Step 4: Simplify right side
    313,640.64x = 64,042,623,795.92
  5. Step 5: Solve for x
    x = 64,042,623,795.92/313,640.64
  6. Step 6: Final answer
    x = 204,191.09

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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.