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Finding the Fourth Proportional to 207,233.70, 311,014.60 and 80,934.46

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Solution

The fourth proportional to 207,233.70, 311,014.60 and 80,934.46 is: 121,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,233.70 : 311,014.60 = 80,934.46 : x
  2. Step 2: Convert to fraction form
    207,233.70/311,014.60 = 80,934.46/x
  3. Step 3: Cross multiply
    207,233.70x = 311,014.60 × 80,934.46
  4. Step 4: Simplify right side
    207,233.70x = 25,171,798,703.12
  5. Step 5: Solve for x
    x = 25,171,798,703.12/207,233.70
  6. Step 6: Final answer
    x = 121,465.76

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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.