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Finding the Fourth Proportional to 103,991.20, 155,986.80 and 51,408.80

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Solution

The fourth proportional to 103,991.20, 155,986.80 and 51,408.80 is: 77,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,991.20 : 155,986.80 = 51,408.80 : x
  2. Step 2: Convert to fraction form
    103,991.20/155,986.80 = 51,408.80/x
  3. Step 3: Cross multiply
    103,991.20x = 155,986.80 × 51,408.80
  4. Step 4: Simplify right side
    103,991.20x = 8,019,094,203.84
  5. Step 5: Solve for x
    x = 8,019,094,203.84/103,991.20
  6. Step 6: Final answer
    x = 77,113.20

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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.