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Finding the Fourth Proportional to 313,336.85, 470,081.61 and 100,104.48

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Solution

The fourth proportional to 313,336.85, 470,081.61 and 100,104.48 is: 150,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,336.85 : 470,081.61 = 100,104.48 : x
  2. Step 2: Convert to fraction form
    313,336.85/470,081.61 = 100,104.48/x
  3. Step 3: Cross multiply
    313,336.85x = 470,081.61 × 100,104.48
  4. Step 4: Simplify right side
    313,336.85x = 47,057,275,126.61
  5. Step 5: Solve for x
    x = 47,057,275,126.61/313,336.85
  6. Step 6: Final answer
    x = 150,181.11

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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.