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Finding the Fourth Proportional to 147,923, 221,884.50 and 49,427

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Solution

The fourth proportional to 147,923, 221,884.50 and 49,427 is: 74,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,923 : 221,884.50 = 49,427 : x
  2. Step 2: Convert to fraction form
    147,923/221,884.50 = 49,427/x
  3. Step 3: Cross multiply
    147,923x = 221,884.50 × 49,427
  4. Step 4: Simplify right side
    147,923x = 10,967,085,181.50
  5. Step 5: Solve for x
    x = 10,967,085,181.50/147,923
  6. Step 6: Final answer
    x = 74,140.50

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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.