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Finding the Fourth Proportional to 256,131.80, 384,197.70 and 163,050.20

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Solution

The fourth proportional to 256,131.80, 384,197.70 and 163,050.20 is: 244,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,131.80 : 384,197.70 = 163,050.20 : x
  2. Step 2: Convert to fraction form
    256,131.80/384,197.70 = 163,050.20/x
  3. Step 3: Cross multiply
    256,131.80x = 384,197.70 × 163,050.20
  4. Step 4: Simplify right side
    256,131.80x = 62,643,511,824.54
  5. Step 5: Solve for x
    x = 62,643,511,824.54/256,131.80
  6. Step 6: Final answer
    x = 244,575.30

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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.