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Finding the Fourth Proportional to 256,151.20, 384,226.80 and 171,951.70

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Solution

The fourth proportional to 256,151.20, 384,226.80 and 171,951.70 is: 257,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,151.20 : 384,226.80 = 171,951.70 : x
  2. Step 2: Convert to fraction form
    256,151.20/384,226.80 = 171,951.70/x
  3. Step 3: Cross multiply
    256,151.20x = 384,226.80 × 171,951.70
  4. Step 4: Simplify right side
    256,151.20x = 66,068,451,445.56
  5. Step 5: Solve for x
    x = 66,068,451,445.56/256,151.20
  6. Step 6: Final answer
    x = 257,927.55

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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.