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Finding the Fourth Proportional to 150,562, 225,858.12 and 39,754

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Solution

The fourth proportional to 150,562, 225,858.12 and 39,754 is: 59,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,562 : 225,858.12 = 39,754 : x
  2. Step 2: Convert to fraction form
    150,562/225,858.12 = 39,754/x
  3. Step 3: Cross multiply
    150,562x = 225,858.12 × 39,754
  4. Step 4: Simplify right side
    150,562x = 8,978,763,702.48
  5. Step 5: Solve for x
    x = 8,978,763,702.48/150,562
  6. Step 6: Final answer
    x = 59,634.99

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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.