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Finding the Fourth Proportional to 207,634.89, 311,459.06 and 65,481.54

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Solution

The fourth proportional to 207,634.89, 311,459.06 and 65,481.54 is: 98,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,634.89 : 311,459.06 = 65,481.54 : x
  2. Step 2: Convert to fraction form
    207,634.89/311,459.06 = 65,481.54/x
  3. Step 3: Cross multiply
    207,634.89x = 311,459.06 × 65,481.54
  4. Step 4: Simplify right side
    207,634.89x = 20,394,817,598.93
  5. Step 5: Solve for x
    x = 20,394,817,598.93/207,634.89
  6. Step 6: Final answer
    x = 98,224.42

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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.