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Finding the Fourth Proportional to 263,083.55, 394,559.71 and 103,191.98

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Solution

The fourth proportional to 263,083.55, 394,559.71 and 103,191.98 is: 154,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,083.55 : 394,559.71 = 103,191.98 : x
  2. Step 2: Convert to fraction form
    263,083.55/394,559.71 = 103,191.98/x
  3. Step 3: Cross multiply
    263,083.55x = 394,559.71 × 103,191.98
  4. Step 4: Simplify right side
    263,083.55x = 40,715,395,472.35
  5. Step 5: Solve for x
    x = 40,715,395,472.35/263,083.55
  6. Step 6: Final answer
    x = 154,762.23

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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.