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Finding the Fourth Proportional to 223,712.93, 335,405.37 and 105,319.69

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Solution

The fourth proportional to 223,712.93, 335,405.37 and 105,319.69 is: 157,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,712.93 : 335,405.37 = 105,319.69 : x
  2. Step 2: Convert to fraction form
    223,712.93/335,405.37 = 105,319.69/x
  3. Step 3: Cross multiply
    223,712.93x = 335,405.37 × 105,319.69
  4. Step 4: Simplify right side
    223,712.93x = 35,324,789,149.17
  5. Step 5: Solve for x
    x = 35,324,789,149.17/223,712.93
  6. Step 6: Final answer
    x = 157,902.31

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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.