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Finding the Fourth Proportional to 454,563.26, 681,735.53 and 139,022.90

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Solution

The fourth proportional to 454,563.26, 681,735.53 and 139,022.90 is: 208,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,563.26 : 681,735.53 = 139,022.90 : x
  2. Step 2: Convert to fraction form
    454,563.26/681,735.53 = 139,022.90/x
  3. Step 3: Cross multiply
    454,563.26x = 681,735.53 × 139,022.90
  4. Step 4: Simplify right side
    454,563.26x = 94,776,850,413.64
  5. Step 5: Solve for x
    x = 94,776,850,413.64/454,563.26
  6. Step 6: Final answer
    x = 208,500.90

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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.