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Finding the Fourth Proportional to 256,165.20, 384,211.62 and 161,105.49

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Solution

The fourth proportional to 256,165.20, 384,211.62 and 161,105.49 is: 241,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,165.20 : 384,211.62 = 161,105.49 : x
  2. Step 2: Convert to fraction form
    256,165.20/384,211.62 = 161,105.49/x
  3. Step 3: Cross multiply
    256,165.20x = 384,211.62 × 161,105.49
  4. Step 4: Simplify right side
    256,165.20x = 61,898,601,303.79
  5. Step 5: Solve for x
    x = 61,898,601,303.79/256,165.20
  6. Step 6: Final answer
    x = 241,635.48

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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.