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Finding the Fourth Proportional to 215,296.72, 322,942.50 and 75,054.88

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Solution

The fourth proportional to 215,296.72, 322,942.50 and 75,054.88 is: 112,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,296.72 : 322,942.50 = 75,054.88 : x
  2. Step 2: Convert to fraction form
    215,296.72/322,942.50 = 75,054.88/x
  3. Step 3: Cross multiply
    215,296.72x = 322,942.50 × 75,054.88
  4. Step 4: Simplify right side
    215,296.72x = 24,238,410,584.40
  5. Step 5: Solve for x
    x = 24,238,410,584.40/215,296.72
  6. Step 6: Final answer
    x = 112,581.42

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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.