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Finding the Fourth Proportional to 199,693.96, 275,579.92 and 109,051.01

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Solution

The fourth proportional to 199,693.96, 275,579.92 and 109,051.01 is: 150,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,693.96 : 275,579.92 = 109,051.01 : x
  2. Step 2: Convert to fraction form
    199,693.96/275,579.92 = 109,051.01/x
  3. Step 3: Cross multiply
    199,693.96x = 275,579.92 × 109,051.01
  4. Step 4: Simplify right side
    199,693.96x = 30,052,268,403.56
  5. Step 5: Solve for x
    x = 30,052,268,403.56/199,693.96
  6. Step 6: Final answer
    x = 150,491.63

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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.