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Finding the Fourth Proportional to 215,733.20, 323,542.20 and 75,477.20

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Solution

The fourth proportional to 215,733.20, 323,542.20 and 75,477.20 is: 113,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,733.20 : 323,542.20 = 75,477.20 : x
  2. Step 2: Convert to fraction form
    215,733.20/323,542.20 = 75,477.20/x
  3. Step 3: Cross multiply
    215,733.20x = 323,542.20 × 75,477.20
  4. Step 4: Simplify right side
    215,733.20x = 24,420,059,337.84
  5. Step 5: Solve for x
    x = 24,420,059,337.84/215,733.20
  6. Step 6: Final answer
    x = 113,195.65

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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.