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Finding the Fourth Proportional to 263,121.48, 394,702.74 and 94,663.80

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Solution

The fourth proportional to 263,121.48, 394,702.74 and 94,663.80 is: 142,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,121.48 : 394,702.74 = 94,663.80 : x
  2. Step 2: Convert to fraction form
    263,121.48/394,702.74 = 94,663.80/x
  3. Step 3: Cross multiply
    263,121.48x = 394,702.74 × 94,663.80
  4. Step 4: Simplify right side
    263,121.48x = 37,364,061,238.81
  5. Step 5: Solve for x
    x = 37,364,061,238.81/263,121.48
  6. Step 6: Final answer
    x = 142,003.08

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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.