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Finding the Fourth Proportional to 256,604.80, 354,105.12 and 143,429.44

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Solution

The fourth proportional to 256,604.80, 354,105.12 and 143,429.44 is: 197,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604.80 : 354,105.12 = 143,429.44 : x
  2. Step 2: Convert to fraction form
    256,604.80/354,105.12 = 143,429.44/x
  3. Step 3: Cross multiply
    256,604.80x = 354,105.12 × 143,429.44
  4. Step 4: Simplify right side
    256,604.80x = 50,789,099,062.73
  5. Step 5: Solve for x
    x = 50,789,099,062.73/256,604.80
  6. Step 6: Final answer
    x = 197,927.31

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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.