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Finding the Fourth Proportional to 203,919.20, 305,878.80 and 184,892.30

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Solution

The fourth proportional to 203,919.20, 305,878.80 and 184,892.30 is: 277,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,919.20 : 305,878.80 = 184,892.30 : x
  2. Step 2: Convert to fraction form
    203,919.20/305,878.80 = 184,892.30/x
  3. Step 3: Cross multiply
    203,919.20x = 305,878.80 × 184,892.30
  4. Step 4: Simplify right side
    203,919.20x = 56,554,634,853.24
  5. Step 5: Solve for x
    x = 56,554,634,853.24/203,919.20
  6. Step 6: Final answer
    x = 277,338.45

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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.