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Finding the Fourth Proportional to 104,652.20, 156,978.30 and 52,164.20

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Solution

The fourth proportional to 104,652.20, 156,978.30 and 52,164.20 is: 78,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,652.20 : 156,978.30 = 52,164.20 : x
  2. Step 2: Convert to fraction form
    104,652.20/156,978.30 = 52,164.20/x
  3. Step 3: Cross multiply
    104,652.20x = 156,978.30 × 52,164.20
  4. Step 4: Simplify right side
    104,652.20x = 8,188,647,436.86
  5. Step 5: Solve for x
    x = 8,188,647,436.86/104,652.20
  6. Step 6: Final answer
    x = 78,246.30

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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.