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Finding the Fourth Proportional to 106,866, 160,299 and 44,536.50

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Solution

The fourth proportional to 106,866, 160,299 and 44,536.50 is: 66,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866 : 160,299 = 44,536.50 : x
  2. Step 2: Convert to fraction form
    106,866/160,299 = 44,536.50/x
  3. Step 3: Cross multiply
    106,866x = 160,299 × 44,536.50
  4. Step 4: Simplify right side
    106,866x = 7,139,156,413.50
  5. Step 5: Solve for x
    x = 7,139,156,413.50/106,866
  6. Step 6: Final answer
    x = 66,804.75

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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.