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Finding the Fourth Proportional to 207,872.34, 311,668.41 and 167,940.45

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Solution

The fourth proportional to 207,872.34, 311,668.41 and 167,940.45 is: 251,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,872.34 : 311,668.41 = 167,940.45 : x
  2. Step 2: Convert to fraction form
    207,872.34/311,668.41 = 167,940.45/x
  3. Step 3: Cross multiply
    207,872.34x = 311,668.41 × 167,940.45
  4. Step 4: Simplify right side
    207,872.34x = 52,341,733,026.18
  5. Step 5: Solve for x
    x = 52,341,733,026.18/207,872.34
  6. Step 6: Final answer
    x = 251,797.49

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1.5x scale

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.