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Finding the Fourth Proportional to 215,902.70, 323,854.05 and 75,643.10

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Solution

The fourth proportional to 215,902.70, 323,854.05 and 75,643.10 is: 113,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,902.70 : 323,854.05 = 75,643.10 : x
  2. Step 2: Convert to fraction form
    215,902.70/323,854.05 = 75,643.10/x
  3. Step 3: Cross multiply
    215,902.70x = 323,854.05 × 75,643.10
  4. Step 4: Simplify right side
    215,902.70x = 24,497,324,289.56
  5. Step 5: Solve for x
    x = 24,497,324,289.56/215,902.70
  6. Step 6: Final answer
    x = 113,464.65

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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.