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Finding the Fourth Proportional to 180,793, 271,189.50 and 56,134

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Solution

The fourth proportional to 180,793, 271,189.50 and 56,134 is: 84,201

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,793 : 271,189.50 = 56,134 : x
  2. Step 2: Convert to fraction form
    180,793/271,189.50 = 56,134/x
  3. Step 3: Cross multiply
    180,793x = 271,189.50 × 56,134
  4. Step 4: Simplify right side
    180,793x = 15,222,951,393
  5. Step 5: Solve for x
    x = 15,222,951,393/180,793
  6. Step 6: Final answer
    x = 84,201

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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.