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Finding the Fourth Proportional to 313,983.80, 470,975.70 and 100,751.30

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Solution

The fourth proportional to 313,983.80, 470,975.70 and 100,751.30 is: 151,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,983.80 : 470,975.70 = 100,751.30 : x
  2. Step 2: Convert to fraction form
    313,983.80/470,975.70 = 100,751.30/x
  3. Step 3: Cross multiply
    313,983.80x = 470,975.70 × 100,751.30
  4. Step 4: Simplify right side
    313,983.80x = 47,451,414,043.41
  5. Step 5: Solve for x
    x = 47,451,414,043.41/313,983.80
  6. Step 6: Final answer
    x = 151,126.95

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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.