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Finding the Fourth Proportional to 207,344.96, 311,015.40 and 94,993.31

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Solution

The fourth proportional to 207,344.96, 311,015.40 and 94,993.31 is: 142,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,344.96 : 311,015.40 = 94,993.31 : x
  2. Step 2: Convert to fraction form
    207,344.96/311,015.40 = 94,993.31/x
  3. Step 3: Cross multiply
    207,344.96x = 311,015.40 × 94,993.31
  4. Step 4: Simplify right side
    207,344.96x = 29,544,380,978.83
  5. Step 5: Solve for x
    x = 29,544,380,978.83/207,344.96
  6. Step 6: Final answer
    x = 142,489.02

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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.