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Finding the Fourth Proportional to 259,502.18, 389,208.38 and 117,314.39

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Solution

The fourth proportional to 259,502.18, 389,208.38 and 117,314.39 is: 175,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,502.18 : 389,208.38 = 117,314.39 : x
  2. Step 2: Convert to fraction form
    259,502.18/389,208.38 = 117,314.39/x
  3. Step 3: Cross multiply
    259,502.18x = 389,208.38 × 117,314.39
  4. Step 4: Simplify right side
    259,502.18x = 45,659,741,149.97
  5. Step 5: Solve for x
    x = 45,659,741,149.97/259,502.18
  6. Step 6: Final answer
    x = 175,951.28

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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.