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Finding the Fourth Proportional to 262,969.32, 394,628.70 and 96,757.32

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Solution

The fourth proportional to 262,969.32, 394,628.70 and 96,757.32 is: 145,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,969.32 : 394,628.70 = 96,757.32 : x
  2. Step 2: Convert to fraction form
    262,969.32/394,628.70 = 96,757.32/x
  3. Step 3: Cross multiply
    262,969.32x = 394,628.70 × 96,757.32
  4. Step 4: Simplify right side
    262,969.32x = 38,183,215,407.08
  5. Step 5: Solve for x
    x = 38,183,215,407.08/262,969.32
  6. Step 6: Final answer
    x = 145,200.27

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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.