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Finding the Fourth Proportional to 106,804.78, 160,112.88 and 40,291.62

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Solution

The fourth proportional to 106,804.78, 160,112.88 and 40,291.62 is: 60,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,804.78 : 160,112.88 = 40,291.62 : x
  2. Step 2: Convert to fraction form
    106,804.78/160,112.88 = 40,291.62/x
  3. Step 3: Cross multiply
    106,804.78x = 160,112.88 × 40,291.62
  4. Step 4: Simplify right side
    106,804.78x = 6,451,206,517.50
  5. Step 5: Solve for x
    x = 6,451,206,517.50/106,804.78
  6. Step 6: Final answer
    x = 60,401.85

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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.