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Finding the Fourth Proportional to 259,653, 389,440.51 and 82,136.94

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Solution

The fourth proportional to 259,653, 389,440.51 and 82,136.94 is: 123,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,653 : 389,440.51 = 82,136.94 : x
  2. Step 2: Convert to fraction form
    259,653/389,440.51 = 82,136.94/x
  3. Step 3: Cross multiply
    259,653x = 389,440.51 × 82,136.94
  4. Step 4: Simplify right side
    259,653x = 31,987,451,803.44
  5. Step 5: Solve for x
    x = 31,987,451,803.44/259,653
  6. Step 6: Final answer
    x = 123,193.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.