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Finding the Fourth Proportional to 148,205.50, 204,523.60 and 81,137.50

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Solution

The fourth proportional to 148,205.50, 204,523.60 and 81,137.50 is: 111,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,205.50 : 204,523.60 = 81,137.50 : x
  2. Step 2: Convert to fraction form
    148,205.50/204,523.60 = 81,137.50/x
  3. Step 3: Cross multiply
    148,205.50x = 204,523.60 × 81,137.50
  4. Step 4: Simplify right side
    148,205.50x = 16,594,533,595
  5. Step 5: Solve for x
    x = 16,594,533,595/148,205.50
  6. Step 6: Final answer
    x = 111,969.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.