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Finding the Fourth Proportional to 205,814.40, 308,138.40 and 184,819.20

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Solution

The fourth proportional to 205,814.40, 308,138.40 and 184,819.20 is: 276,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,814.40 : 308,138.40 = 184,819.20 : x
  2. Step 2: Convert to fraction form
    205,814.40/308,138.40 = 184,819.20/x
  3. Step 3: Cross multiply
    205,814.40x = 308,138.40 × 184,819.20
  4. Step 4: Simplify right side
    205,814.40x = 56,949,892,577.28
  5. Step 5: Solve for x
    x = 56,949,892,577.28/205,814.40
  6. Step 6: Final answer
    x = 276,705.09

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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.