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Finding the Fourth Proportional to 76,220.52, 114,188.22 and 67,984.44

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Solution

The fourth proportional to 76,220.52, 114,188.22 and 67,984.44 is: 101,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,220.52 : 114,188.22 = 67,984.44 : x
  2. Step 2: Convert to fraction form
    76,220.52/114,188.22 = 67,984.44/x
  3. Step 3: Cross multiply
    76,220.52x = 114,188.22 × 67,984.44
  4. Step 4: Simplify right side
    76,220.52x = 7,763,022,191.30
  5. Step 5: Solve for x
    x = 7,763,022,191.30/76,220.52
  6. Step 6: Final answer
    x = 101,849.50

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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.