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Finding the Fourth Proportional to 117,221.50, 175,861.41 and 34,115.50

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Solution

The fourth proportional to 117,221.50, 175,861.41 and 34,115.50 is: 51,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,221.50 : 175,861.41 = 34,115.50 : x
  2. Step 2: Convert to fraction form
    117,221.50/175,861.41 = 34,115.50/x
  3. Step 3: Cross multiply
    117,221.50x = 175,861.41 × 34,115.50
  4. Step 4: Simplify right side
    117,221.50x = 5,999,599,932.86
  5. Step 5: Solve for x
    x = 5,999,599,932.86/117,221.50
  6. Step 6: Final answer
    x = 51,181.74

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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.