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Finding the Fourth Proportional to 208,906.21, 313,783.76 and 184,499.29

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Solution

The fourth proportional to 208,906.21, 313,783.76 and 184,499.29 is: 277,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,906.21 : 313,783.76 = 184,499.29 : x
  2. Step 2: Convert to fraction form
    208,906.21/313,783.76 = 184,499.29/x
  3. Step 3: Cross multiply
    208,906.21x = 313,783.76 × 184,499.29
  4. Step 4: Simplify right side
    208,906.21x = 57,892,880,011.03
  5. Step 5: Solve for x
    x = 57,892,880,011.03/208,906.21
  6. Step 6: Final answer
    x = 277,123.79

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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.