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Finding the Fourth Proportional to 256,226.20, 384,339.30 and 161,747.80

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Solution

The fourth proportional to 256,226.20, 384,339.30 and 161,747.80 is: 242,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,226.20 : 384,339.30 = 161,747.80 : x
  2. Step 2: Convert to fraction form
    256,226.20/384,339.30 = 161,747.80/x
  3. Step 3: Cross multiply
    256,226.20x = 384,339.30 × 161,747.80
  4. Step 4: Simplify right side
    256,226.20x = 62,166,036,228.54
  5. Step 5: Solve for x
    x = 62,166,036,228.54/256,226.20
  6. Step 6: Final answer
    x = 242,621.70

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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.