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Finding the Fourth Proportional to 203,857.20, 305,785.80 and 184,830.30

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Solution

The fourth proportional to 203,857.20, 305,785.80 and 184,830.30 is: 277,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.20 : 305,785.80 = 184,830.30 : x
  2. Step 2: Convert to fraction form
    203,857.20/305,785.80 = 184,830.30/x
  3. Step 3: Cross multiply
    203,857.20x = 305,785.80 × 184,830.30
  4. Step 4: Simplify right side
    203,857.20x = 56,518,481,149.74
  5. Step 5: Solve for x
    x = 56,518,481,149.74/203,857.20
  6. Step 6: Final answer
    x = 277,245.45

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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.