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Finding the Fourth Proportional to 276,201.12, 381,100.32 and 161,457.48

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Solution

The fourth proportional to 276,201.12, 381,100.32 and 161,457.48 is: 222,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,201.12 : 381,100.32 = 161,457.48 : x
  2. Step 2: Convert to fraction form
    276,201.12/381,100.32 = 161,457.48/x
  3. Step 3: Cross multiply
    276,201.12x = 381,100.32 × 161,457.48
  4. Step 4: Simplify right side
    276,201.12x = 61,531,497,294.39
  5. Step 5: Solve for x
    x = 61,531,497,294.39/276,201.12
  6. Step 6: Final answer
    x = 222,777.87

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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.