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Finding the Fourth Proportional to 259,022.44, 388,561.50 and 81,534.76

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Solution

The fourth proportional to 259,022.44, 388,561.50 and 81,534.76 is: 122,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,022.44 : 388,561.50 = 81,534.76 : x
  2. Step 2: Convert to fraction form
    259,022.44/388,561.50 = 81,534.76/x
  3. Step 3: Cross multiply
    259,022.44x = 388,561.50 × 81,534.76
  4. Step 4: Simplify right side
    259,022.44x = 31,681,268,647.74
  5. Step 5: Solve for x
    x = 31,681,268,647.74/259,022.44
  6. Step 6: Final answer
    x = 122,310.90

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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.