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Finding the Fourth Proportional to 263,324.98, 394,894.06 and 94,800.06

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Solution

The fourth proportional to 263,324.98, 394,894.06 and 94,800.06 is: 142,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,324.98 : 394,894.06 = 94,800.06 : x
  2. Step 2: Convert to fraction form
    263,324.98/394,894.06 = 94,800.06/x
  3. Step 3: Cross multiply
    263,324.98x = 394,894.06 × 94,800.06
  4. Step 4: Simplify right side
    263,324.98x = 37,435,980,581.64
  5. Step 5: Solve for x
    x = 37,435,980,581.64/263,324.98
  6. Step 6: Final answer
    x = 142,166.46

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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.