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Finding the Fourth Proportional to 150,492.53, 225,757.44 and 49,255.80

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Solution

The fourth proportional to 150,492.53, 225,757.44 and 49,255.80 is: 73,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492.53 : 225,757.44 = 49,255.80 : x
  2. Step 2: Convert to fraction form
    150,492.53/225,757.44 = 49,255.80/x
  3. Step 3: Cross multiply
    150,492.53x = 225,757.44 × 49,255.80
  4. Step 4: Simplify right side
    150,492.53x = 11,119,863,313.15
  5. Step 5: Solve for x
    x = 11,119,863,313.15/150,492.53
  6. Step 6: Final answer
    x = 73,889.80

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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.