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Finding the Fourth Proportional to 123,766.75, 185,653.77 and 30,272.50

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Solution

The fourth proportional to 123,766.75, 185,653.77 and 30,272.50 is: 45,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,766.75 : 185,653.77 = 30,272.50 : x
  2. Step 2: Convert to fraction form
    123,766.75/185,653.77 = 30,272.50/x
  3. Step 3: Cross multiply
    123,766.75x = 185,653.77 × 30,272.50
  4. Step 4: Simplify right side
    123,766.75x = 5,620,203,752.33
  5. Step 5: Solve for x
    x = 5,620,203,752.33/123,766.75
  6. Step 6: Final answer
    x = 45,409.64

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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.