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Finding the Fourth Proportional to 256,098.30, 384,147.45 and 163,016.70

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Solution

The fourth proportional to 256,098.30, 384,147.45 and 163,016.70 is: 244,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.30 : 384,147.45 = 163,016.70 : x
  2. Step 2: Convert to fraction form
    256,098.30/384,147.45 = 163,016.70/x
  3. Step 3: Cross multiply
    256,098.30x = 384,147.45 × 163,016.70
  4. Step 4: Simplify right side
    256,098.30x = 62,622,449,612.42
  5. Step 5: Solve for x
    x = 62,622,449,612.42/256,098.30
  6. Step 6: Final answer
    x = 244,525.05

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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.