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Finding the Fourth Proportional to 259,489.20, 389,233.80 and 166,177.20

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Solution

The fourth proportional to 259,489.20, 389,233.80 and 166,177.20 is: 249,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,489.20 : 389,233.80 = 166,177.20 : x
  2. Step 2: Convert to fraction form
    259,489.20/389,233.80 = 166,177.20/x
  3. Step 3: Cross multiply
    259,489.20x = 389,233.80 × 166,177.20
  4. Step 4: Simplify right side
    259,489.20x = 64,681,783,029.36
  5. Step 5: Solve for x
    x = 64,681,783,029.36/259,489.20
  6. Step 6: Final answer
    x = 249,265.80

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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.