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Finding the Fourth Proportional to 146,313, 219,470.04 and 35,505

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Solution

The fourth proportional to 146,313, 219,470.04 and 35,505 is: 53,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,313 : 219,470.04 = 35,505 : x
  2. Step 2: Convert to fraction form
    146,313/219,470.04 = 35,505/x
  3. Step 3: Cross multiply
    146,313x = 219,470.04 × 35,505
  4. Step 4: Simplify right side
    146,313x = 7,792,283,770.20
  5. Step 5: Solve for x
    x = 7,792,283,770.20/146,313
  6. Step 6: Final answer
    x = 53,257.63

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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.