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Finding the Fourth Proportional to 135,834.56, 187,452 and 76,218.56

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Solution

The fourth proportional to 135,834.56, 187,452 and 76,218.56 is: 105,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,834.56 : 187,452 = 76,218.56 : x
  2. Step 2: Convert to fraction form
    135,834.56/187,452 = 76,218.56/x
  3. Step 3: Cross multiply
    135,834.56x = 187,452 × 76,218.56
  4. Step 4: Simplify right side
    135,834.56x = 14,287,321,509.12
  5. Step 5: Solve for x
    x = 14,287,321,509.12/135,834.56
  6. Step 6: Final answer
    x = 105,181.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.