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Finding the Fourth Proportional to 148,477, 222,711.18 and 54,980.68

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Solution

The fourth proportional to 148,477, 222,711.18 and 54,980.68 is: 82,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,477 : 222,711.18 = 54,980.68 : x
  2. Step 2: Convert to fraction form
    148,477/222,711.18 = 54,980.68/x
  3. Step 3: Cross multiply
    148,477x = 222,711.18 × 54,980.68
  4. Step 4: Simplify right side
    148,477x = 12,244,812,120.00
  5. Step 5: Solve for x
    x = 12,244,812,120.00/148,477
  6. Step 6: Final answer
    x = 82,469.42

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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.