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Finding the Fourth Proportional to 106,806.90, 160,198.20 and 27,929.10

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Solution

The fourth proportional to 106,806.90, 160,198.20 and 27,929.10 is: 41,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806.90 : 160,198.20 = 27,929.10 : x
  2. Step 2: Convert to fraction form
    106,806.90/160,198.20 = 27,929.10/x
  3. Step 3: Cross multiply
    106,806.90x = 160,198.20 × 27,929.10
  4. Step 4: Simplify right side
    106,806.90x = 4,474,191,547.62
  5. Step 5: Solve for x
    x = 4,474,191,547.62/106,806.90
  6. Step 6: Final answer
    x = 41,890.47

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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.