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Finding the Fourth Proportional to 256,753.35, 354,200.23 and 166,138.57

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Solution

The fourth proportional to 256,753.35, 354,200.23 and 166,138.57 is: 229,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.35 : 354,200.23 = 166,138.57 : x
  2. Step 2: Convert to fraction form
    256,753.35/354,200.23 = 166,138.57/x
  3. Step 3: Cross multiply
    256,753.35x = 354,200.23 × 166,138.57
  4. Step 4: Simplify right side
    256,753.35x = 58,846,317,104.18
  5. Step 5: Solve for x
    x = 58,846,317,104.18/256,753.35
  6. Step 6: Final answer
    x = 229,193.96

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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.