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Finding the Fourth Proportional to 263,004.88, 394,468.44 and 96,754

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Solution

The fourth proportional to 263,004.88, 394,468.44 and 96,754 is: 145,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,004.88 : 394,468.44 = 96,754 : x
  2. Step 2: Convert to fraction form
    263,004.88/394,468.44 = 96,754/x
  3. Step 3: Cross multiply
    263,004.88x = 394,468.44 × 96,754
  4. Step 4: Simplify right side
    263,004.88x = 38,166,399,443.76
  5. Step 5: Solve for x
    x = 38,166,399,443.76/263,004.88
  6. Step 6: Final answer
    x = 145,116.70

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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.