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Finding the Fourth Proportional to 146,258, 219,387 and 35,450

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Solution

The fourth proportional to 146,258, 219,387 and 35,450 is: 53,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,258 : 219,387 = 35,450 : x
  2. Step 2: Convert to fraction form
    146,258/219,387 = 35,450/x
  3. Step 3: Cross multiply
    146,258x = 219,387 × 35,450
  4. Step 4: Simplify right side
    146,258x = 7,777,269,150
  5. Step 5: Solve for x
    x = 7,777,269,150/146,258
  6. Step 6: Final answer
    x = 53,175

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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.