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Finding the Fourth Proportional to 231,662.44, 347,130.78 and 184,902.76

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Solution

The fourth proportional to 231,662.44, 347,130.78 and 184,902.76 is: 277,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,662.44 : 347,130.78 = 184,902.76 : x
  2. Step 2: Convert to fraction form
    231,662.44/347,130.78 = 184,902.76/x
  3. Step 3: Cross multiply
    231,662.44x = 347,130.78 × 184,902.76
  4. Step 4: Simplify right side
    231,662.44x = 64,185,439,302.95
  5. Step 5: Solve for x
    x = 64,185,439,302.95/231,662.44
  6. Step 6: Final answer
    x = 277,064.51

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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.