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Finding the Fourth Proportional to 274,002.48, 411,015.87 and 105,462.54

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Solution

The fourth proportional to 274,002.48, 411,015.87 and 105,462.54 is: 158,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,002.48 : 411,015.87 = 105,462.54 : x
  2. Step 2: Convert to fraction form
    274,002.48/411,015.87 = 105,462.54/x
  3. Step 3: Cross multiply
    274,002.48x = 411,015.87 × 105,462.54
  4. Step 4: Simplify right side
    274,002.48x = 43,346,777,630.51
  5. Step 5: Solve for x
    x = 43,346,777,630.51/274,002.48
  6. Step 6: Final answer
    x = 158,198.49

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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.