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Finding the Fourth Proportional to 207,941.01, 311,694.43 and 150,877.05

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Solution

The fourth proportional to 207,941.01, 311,694.43 and 150,877.05 is: 226,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,941.01 : 311,694.43 = 150,877.05 : x
  2. Step 2: Convert to fraction form
    207,941.01/311,694.43 = 150,877.05/x
  3. Step 3: Cross multiply
    207,941.01x = 311,694.43 × 150,877.05
  4. Step 4: Simplify right side
    207,941.01x = 47,027,536,099.83
  5. Step 5: Solve for x
    x = 47,027,536,099.83/207,941.01
  6. Step 6: Final answer
    x = 226,158.06

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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.