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Finding the Fourth Proportional to 259,463.16, 389,241.78 and 117,375.36

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Solution

The fourth proportional to 259,463.16, 389,241.78 and 117,375.36 is: 176,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,463.16 : 389,241.78 = 117,375.36 : x
  2. Step 2: Convert to fraction form
    259,463.16/389,241.78 = 117,375.36/x
  3. Step 3: Cross multiply
    259,463.16x = 389,241.78 × 117,375.36
  4. Step 4: Simplify right side
    259,463.16x = 45,687,394,054.54
  5. Step 5: Solve for x
    x = 45,687,394,054.54/259,463.16
  6. Step 6: Final answer
    x = 176,084.32

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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.