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Finding the Fourth Proportional to 223,446.36, 335,278.80 and 105,129.48

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Solution

The fourth proportional to 223,446.36, 335,278.80 and 105,129.48 is: 157,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,446.36 : 335,278.80 = 105,129.48 : x
  2. Step 2: Convert to fraction form
    223,446.36/335,278.80 = 105,129.48/x
  3. Step 3: Cross multiply
    223,446.36x = 335,278.80 × 105,129.48
  4. Step 4: Simplify right side
    223,446.36x = 35,247,685,899.02
  5. Step 5: Solve for x
    x = 35,247,685,899.02/223,446.36
  6. Step 6: Final answer
    x = 157,745.63

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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.