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Finding the Fourth Proportional to 274,736.87, 412,258.41 and 148,374.44

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Solution

The fourth proportional to 274,736.87, 412,258.41 and 148,374.44 is: 222,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,736.87 : 412,258.41 = 148,374.44 : x
  2. Step 2: Convert to fraction form
    274,736.87/412,258.41 = 148,374.44/x
  3. Step 3: Cross multiply
    274,736.87x = 412,258.41 × 148,374.44
  4. Step 4: Simplify right side
    274,736.87x = 61,168,610,719.04
  5. Step 5: Solve for x
    x = 61,168,610,719.04/274,736.87
  6. Step 6: Final answer
    x = 222,644.35

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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.