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Finding the Fourth Proportional to 203,200.60, 280,951.68 and 177,977.56

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Solution

The fourth proportional to 203,200.60, 280,951.68 and 177,977.56 is: 246,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.60 : 280,951.68 = 177,977.56 : x
  2. Step 2: Convert to fraction form
    203,200.60/280,951.68 = 177,977.56/x
  3. Step 3: Cross multiply
    203,200.60x = 280,951.68 × 177,977.56
  4. Step 4: Simplify right side
    203,200.60x = 50,003,094,484.30
  5. Step 5: Solve for x
    x = 50,003,094,484.30/203,200.60
  6. Step 6: Final answer
    x = 246,077.49

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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.