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Finding the Fourth Proportional to 207,561.70, 311,342.55 and 189,190.90

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Solution

The fourth proportional to 207,561.70, 311,342.55 and 189,190.90 is: 283,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,561.70 : 311,342.55 = 189,190.90 : x
  2. Step 2: Convert to fraction form
    207,561.70/311,342.55 = 189,190.90/x
  3. Step 3: Cross multiply
    207,561.70x = 311,342.55 × 189,190.90
  4. Step 4: Simplify right side
    207,561.70x = 58,903,177,242.80
  5. Step 5: Solve for x
    x = 58,903,177,242.80/207,561.70
  6. Step 6: Final answer
    x = 283,786.35

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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.