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Finding the Fourth Proportional to 217,909.01, 326,676.30 and 75,735.82

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Solution

The fourth proportional to 217,909.01, 326,676.30 and 75,735.82 is: 113,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,909.01 : 326,676.30 = 75,735.82 : x
  2. Step 2: Convert to fraction form
    217,909.01/326,676.30 = 75,735.82/x
  3. Step 3: Cross multiply
    217,909.01x = 326,676.30 × 75,735.82
  4. Step 4: Simplify right side
    217,909.01x = 24,741,097,579.40
  5. Step 5: Solve for x
    x = 24,741,097,579.40/217,909.01
  6. Step 6: Final answer
    x = 113,538.66

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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.