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Finding the Fourth Proportional to 105,967.44, 146,241.72 and 58,224.96

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Solution

The fourth proportional to 105,967.44, 146,241.72 and 58,224.96 is: 80,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,967.44 : 146,241.72 = 58,224.96 : x
  2. Step 2: Convert to fraction form
    105,967.44/146,241.72 = 58,224.96/x
  3. Step 3: Cross multiply
    105,967.44x = 146,241.72 × 58,224.96
  4. Step 4: Simplify right side
    105,967.44x = 8,514,918,297.33
  5. Step 5: Solve for x
    x = 8,514,918,297.33/105,967.44
  6. Step 6: Final answer
    x = 80,354.10

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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.