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Finding the Fourth Proportional to 83,456.68, 125,216.98 and 50,200.30

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Solution

The fourth proportional to 83,456.68, 125,216.98 and 50,200.30 is: 75,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456.68 : 125,216.98 = 50,200.30 : x
  2. Step 2: Convert to fraction form
    83,456.68/125,216.98 = 50,200.30/x
  3. Step 3: Cross multiply
    83,456.68x = 125,216.98 × 50,200.30
  4. Step 4: Simplify right side
    83,456.68x = 6,285,929,961.09
  5. Step 5: Solve for x
    x = 6,285,929,961.09/83,456.68
  6. Step 6: Final answer
    x = 75,319.67

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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.