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Finding the Fourth Proportional to 146,361, 219,542.04 and 35,553

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Solution

The fourth proportional to 146,361, 219,542.04 and 35,553 is: 53,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,361 : 219,542.04 = 35,553 : x
  2. Step 2: Convert to fraction form
    146,361/219,542.04 = 35,553/x
  3. Step 3: Cross multiply
    146,361x = 219,542.04 × 35,553
  4. Step 4: Simplify right side
    146,361x = 7,805,378,148.12
  5. Step 5: Solve for x
    x = 7,805,378,148.12/146,361
  6. Step 6: Final answer
    x = 53,329.63

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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.