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Finding the Fourth Proportional to 313,330.85, 470,072.61 and 100,098.56

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Solution

The fourth proportional to 313,330.85, 470,072.61 and 100,098.56 is: 150,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,330.85 : 470,072.61 = 100,098.56 : x
  2. Step 2: Convert to fraction form
    313,330.85/470,072.61 = 100,098.56/x
  3. Step 3: Cross multiply
    313,330.85x = 470,072.61 × 100,098.56
  4. Step 4: Simplify right side
    313,330.85x = 47,053,589,006.08
  5. Step 5: Solve for x
    x = 47,053,589,006.08/313,330.85
  6. Step 6: Final answer
    x = 150,172.22

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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.