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Finding the Fourth Proportional to 148,530.80, 222,697.80 and 82,002.80

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Solution

The fourth proportional to 148,530.80, 222,697.80 and 82,002.80 is: 122,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,530.80 : 222,697.80 = 82,002.80 : x
  2. Step 2: Convert to fraction form
    148,530.80/222,697.80 = 82,002.80/x
  3. Step 3: Cross multiply
    148,530.80x = 222,697.80 × 82,002.80
  4. Step 4: Simplify right side
    148,530.80x = 18,261,843,153.84
  5. Step 5: Solve for x
    x = 18,261,843,153.84/148,530.80
  6. Step 6: Final answer
    x = 122,949.87

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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.