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Finding the Fourth Proportional to 76,960.80, 115,441.20 and 61,408.80

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Solution

The fourth proportional to 76,960.80, 115,441.20 and 61,408.80 is: 92,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960.80 : 115,441.20 = 61,408.80 : x
  2. Step 2: Convert to fraction form
    76,960.80/115,441.20 = 61,408.80/x
  3. Step 3: Cross multiply
    76,960.80x = 115,441.20 × 61,408.80
  4. Step 4: Simplify right side
    76,960.80x = 7,089,105,562.56
  5. Step 5: Solve for x
    x = 7,089,105,562.56/76,960.80
  6. Step 6: Final answer
    x = 92,113.20

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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.