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Finding the Fourth Proportional to 301,213.56, 451,532.34 and 111,623.16

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Solution

The fourth proportional to 301,213.56, 451,532.34 and 111,623.16 is: 167,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,213.56 : 451,532.34 = 111,623.16 : x
  2. Step 2: Convert to fraction form
    301,213.56/451,532.34 = 111,623.16/x
  3. Step 3: Cross multiply
    301,213.56x = 451,532.34 × 111,623.16
  4. Step 4: Simplify right side
    301,213.56x = 50,401,466,632.99
  5. Step 5: Solve for x
    x = 50,401,466,632.99/301,213.56
  6. Step 6: Final answer
    x = 167,328.01

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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.