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Finding the Fourth Proportional to 103,198.62, 154,805.28 and 35,702.67

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Solution

The fourth proportional to 103,198.62, 154,805.28 and 35,702.67 is: 53,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,198.62 : 154,805.28 = 35,702.67 : x
  2. Step 2: Convert to fraction form
    103,198.62/154,805.28 = 35,702.67/x
  3. Step 3: Cross multiply
    103,198.62x = 154,805.28 × 35,702.67
  4. Step 4: Simplify right side
    103,198.62x = 5,526,961,826.10
  5. Step 5: Solve for x
    x = 5,526,961,826.10/103,198.62
  6. Step 6: Final answer
    x = 53,556.55

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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.