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Finding the Fourth Proportional to 207,364.91, 311,101.74 and 65,204.42

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Solution

The fourth proportional to 207,364.91, 311,101.74 and 65,204.42 is: 97,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.91 : 311,101.74 = 65,204.42 : x
  2. Step 2: Convert to fraction form
    207,364.91/311,101.74 = 65,204.42/x
  3. Step 3: Cross multiply
    207,364.91x = 311,101.74 × 65,204.42
  4. Step 4: Simplify right side
    207,364.91x = 20,285,208,517.69
  5. Step 5: Solve for x
    x = 20,285,208,517.69/207,364.91
  6. Step 6: Final answer
    x = 97,823.73

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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.