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Finding the Fourth Proportional to 97,676.79, 146,115.54 and 73,806.90

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Solution

The fourth proportional to 97,676.79, 146,115.54 and 73,806.90 is: 110,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.79 : 146,115.54 = 73,806.90 : x
  2. Step 2: Convert to fraction form
    97,676.79/146,115.54 = 73,806.90/x
  3. Step 3: Cross multiply
    97,676.79x = 146,115.54 × 73,806.90
  4. Step 4: Simplify right side
    97,676.79x = 10,784,335,049.23
  5. Step 5: Solve for x
    x = 10,784,335,049.23/97,676.79
  6. Step 6: Final answer
    x = 110,408.37

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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.