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Finding the Fourth Proportional to 106,090.44, 146,363.02 and 60,744

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Solution

The fourth proportional to 106,090.44, 146,363.02 and 60,744 is: 83,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,090.44 : 146,363.02 = 60,744 : x
  2. Step 2: Convert to fraction form
    106,090.44/146,363.02 = 60,744/x
  3. Step 3: Cross multiply
    106,090.44x = 146,363.02 × 60,744
  4. Step 4: Simplify right side
    106,090.44x = 8,890,675,286.88
  5. Step 5: Solve for x
    x = 8,890,675,286.88/106,090.44
  6. Step 6: Final answer
    x = 83,802.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.