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Finding the Fourth Proportional to 256,485.20, 384,144.60 and 162,006.80

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Solution

The fourth proportional to 256,485.20, 384,144.60 and 162,006.80 is: 242,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,485.20 : 384,144.60 = 162,006.80 : x
  2. Step 2: Convert to fraction form
    256,485.20/384,144.60 = 162,006.80/x
  3. Step 3: Cross multiply
    256,485.20x = 384,144.60 × 162,006.80
  4. Step 4: Simplify right side
    256,485.20x = 62,234,037,383.28
  5. Step 5: Solve for x
    x = 62,234,037,383.28/256,485.20
  6. Step 6: Final answer
    x = 242,641.83

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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.