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Finding the Fourth Proportional to 256,216.68, 384,227.10 and 123,059.88

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Solution

The fourth proportional to 256,216.68, 384,227.10 and 123,059.88 is: 184,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,216.68 : 384,227.10 = 123,059.88 : x
  2. Step 2: Convert to fraction form
    256,216.68/384,227.10 = 123,059.88/x
  3. Step 3: Cross multiply
    256,216.68x = 384,227.10 × 123,059.88
  4. Step 4: Simplify right side
    256,216.68x = 47,282,940,818.75
  5. Step 5: Solve for x
    x = 47,282,940,818.75/256,216.68
  6. Step 6: Final answer
    x = 184,542.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.