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Finding the Fourth Proportional to 230,682.56, 318,346.08 and 135,216.32

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Solution

The fourth proportional to 230,682.56, 318,346.08 and 135,216.32 is: 186,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,682.56 : 318,346.08 = 135,216.32 : x
  2. Step 2: Convert to fraction form
    230,682.56/318,346.08 = 135,216.32/x
  3. Step 3: Cross multiply
    230,682.56x = 318,346.08 × 135,216.32
  4. Step 4: Simplify right side
    230,682.56x = 43,045,585,424.03
  5. Step 5: Solve for x
    x = 43,045,585,424.03/230,682.56
  6. Step 6: Final answer
    x = 186,600.95

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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.