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Finding the Fourth Proportional to 149,846.80, 224,478.60 and 83,167.60

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Solution

The fourth proportional to 149,846.80, 224,478.60 and 83,167.60 is: 124,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.80 : 224,478.60 = 83,167.60 : x
  2. Step 2: Convert to fraction form
    149,846.80/224,478.60 = 83,167.60/x
  3. Step 3: Cross multiply
    149,846.80x = 224,478.60 × 83,167.60
  4. Step 4: Simplify right side
    149,846.80x = 18,669,346,413.36
  5. Step 5: Solve for x
    x = 18,669,346,413.36/149,846.80
  6. Step 6: Final answer
    x = 124,589.56

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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.