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Finding the Fourth Proportional to 231,731.80, 347,273.70 and 184,427.80

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Solution

The fourth proportional to 231,731.80, 347,273.70 and 184,427.80 is: 276,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,731.80 : 347,273.70 = 184,427.80 : x
  2. Step 2: Convert to fraction form
    231,731.80/347,273.70 = 184,427.80/x
  3. Step 3: Cross multiply
    231,731.80x = 347,273.70 × 184,427.80
  4. Step 4: Simplify right side
    231,731.80x = 64,046,924,488.86
  5. Step 5: Solve for x
    x = 64,046,924,488.86/231,731.80
  6. Step 6: Final answer
    x = 276,383.84

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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.