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Finding the Fourth Proportional to 313,558.10, 470,201.07 and 113,812.10

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Solution

The fourth proportional to 313,558.10, 470,201.07 and 113,812.10 is: 170,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,558.10 : 470,201.07 = 113,812.10 : x
  2. Step 2: Convert to fraction form
    313,558.10/470,201.07 = 113,812.10/x
  3. Step 3: Cross multiply
    313,558.10x = 470,201.07 × 113,812.10
  4. Step 4: Simplify right side
    313,558.10x = 53,514,571,198.95
  5. Step 5: Solve for x
    x = 53,514,571,198.95/313,558.10
  6. Step 6: Final answer
    x = 170,668.76

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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.