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Finding the Fourth Proportional to 256,786.56, 354,216.96 and 154,742.40

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Solution

The fourth proportional to 256,786.56, 354,216.96 and 154,742.40 is: 213,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,786.56 : 354,216.96 = 154,742.40 : x
  2. Step 2: Convert to fraction form
    256,786.56/354,216.96 = 154,742.40/x
  3. Step 3: Cross multiply
    256,786.56x = 354,216.96 × 154,742.40
  4. Step 4: Simplify right side
    256,786.56x = 54,812,382,511.10
  5. Step 5: Solve for x
    x = 54,812,382,511.10/256,786.56
  6. Step 6: Final answer
    x = 213,455.03

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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.