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Finding the Fourth Proportional to 256,546.56, 353,805 and 161,062.16

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Solution

The fourth proportional to 256,546.56, 353,805 and 161,062.16 is: 222,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,546.56 : 353,805 = 161,062.16 : x
  2. Step 2: Convert to fraction form
    256,546.56/353,805 = 161,062.16/x
  3. Step 3: Cross multiply
    256,546.56x = 353,805 × 161,062.16
  4. Step 4: Simplify right side
    256,546.56x = 56,984,597,518.80
  5. Step 5: Solve for x
    x = 56,984,597,518.80/256,546.56
  6. Step 6: Final answer
    x = 222,121.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.