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Finding the Fourth Proportional to 148,361, 222,576.50 and 48,520.80

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Solution

The fourth proportional to 148,361, 222,576.50 and 48,520.80 is: 72,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,361 : 222,576.50 = 48,520.80 : x
  2. Step 2: Convert to fraction form
    148,361/222,576.50 = 48,520.80/x
  3. Step 3: Cross multiply
    148,361x = 222,576.50 × 48,520.80
  4. Step 4: Simplify right side
    148,361x = 10,799,589,841.20
  5. Step 5: Solve for x
    x = 10,799,589,841.20/148,361
  6. Step 6: Final answer
    x = 72,792.65

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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.