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Finding the Fourth Proportional to 129,982.10, 194,645.10 and 85,367.30

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Solution

The fourth proportional to 129,982.10, 194,645.10 and 85,367.30 is: 127,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,982.10 : 194,645.10 = 85,367.30 : x
  2. Step 2: Convert to fraction form
    129,982.10/194,645.10 = 85,367.30/x
  3. Step 3: Cross multiply
    129,982.10x = 194,645.10 × 85,367.30
  4. Step 4: Simplify right side
    129,982.10x = 16,616,326,645.23
  5. Step 5: Solve for x
    x = 16,616,326,645.23/129,982.10
  6. Step 6: Final answer
    x = 127,835.50

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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.