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Finding the Fourth Proportional to 204,118.56, 305,734.77 and 98,716.50

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Solution

The fourth proportional to 204,118.56, 305,734.77 and 98,716.50 is: 147,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,118.56 : 305,734.77 = 98,716.50 : x
  2. Step 2: Convert to fraction form
    204,118.56/305,734.77 = 98,716.50/x
  3. Step 3: Cross multiply
    204,118.56x = 305,734.77 × 98,716.50
  4. Step 4: Simplify right side
    204,118.56x = 30,181,066,422.71
  5. Step 5: Solve for x
    x = 30,181,066,422.71/204,118.56
  6. Step 6: Final answer
    x = 147,860.47

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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.