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Finding the Fourth Proportional to 223,741.92, 335,735.91 and 105,410.19

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Solution

The fourth proportional to 223,741.92, 335,735.91 and 105,410.19 is: 158,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,741.92 : 335,735.91 = 105,410.19 : x
  2. Step 2: Convert to fraction form
    223,741.92/335,735.91 = 105,410.19/x
  3. Step 3: Cross multiply
    223,741.92x = 335,735.91 × 105,410.19
  4. Step 4: Simplify right side
    223,741.92x = 35,389,986,062.92
  5. Step 5: Solve for x
    x = 35,389,986,062.92/223,741.92
  6. Step 6: Final answer
    x = 158,173.25

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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.