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Finding the Fourth Proportional to 215,664.80, 323,497.20 and 75,408.80

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Solution

The fourth proportional to 215,664.80, 323,497.20 and 75,408.80 is: 113,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,664.80 : 323,497.20 = 75,408.80 : x
  2. Step 2: Convert to fraction form
    215,664.80/323,497.20 = 75,408.80/x
  3. Step 3: Cross multiply
    215,664.80x = 323,497.20 × 75,408.80
  4. Step 4: Simplify right side
    215,664.80x = 24,394,535,655.36
  5. Step 5: Solve for x
    x = 24,394,535,655.36/215,664.80
  6. Step 6: Final answer
    x = 113,113.20

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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.