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Finding the Fourth Proportional to 133,940.52, 184,752.90 and 82,234.98

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Solution

The fourth proportional to 133,940.52, 184,752.90 and 82,234.98 is: 113,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,940.52 : 184,752.90 = 82,234.98 : x
  2. Step 2: Convert to fraction form
    133,940.52/184,752.90 = 82,234.98/x
  3. Step 3: Cross multiply
    133,940.52x = 184,752.90 × 82,234.98
  4. Step 4: Simplify right side
    133,940.52x = 15,193,151,036.44
  5. Step 5: Solve for x
    x = 15,193,151,036.44/133,940.52
  6. Step 6: Final answer
    x = 113,432.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.