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Finding the Fourth Proportional to 108,286.90, 162,406.05 and 71,107.90

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Solution

The fourth proportional to 108,286.90, 162,406.05 and 71,107.90 is: 106,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,286.90 : 162,406.05 = 71,107.90 : x
  2. Step 2: Convert to fraction form
    108,286.90/162,406.05 = 71,107.90/x
  3. Step 3: Cross multiply
    108,286.90x = 162,406.05 × 71,107.90
  4. Step 4: Simplify right side
    108,286.90x = 11,548,353,162.80
  5. Step 5: Solve for x
    x = 11,548,353,162.80/108,286.90
  6. Step 6: Final answer
    x = 106,645.89

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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.