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Finding the Fourth Proportional to 259,459.20, 389,149.92 and 101,796.48

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Solution

The fourth proportional to 259,459.20, 389,149.92 and 101,796.48 is: 152,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,459.20 : 389,149.92 = 101,796.48 : x
  2. Step 2: Convert to fraction form
    259,459.20/389,149.92 = 101,796.48/x
  3. Step 3: Cross multiply
    259,459.20x = 389,149.92 × 101,796.48
  4. Step 4: Simplify right side
    259,459.20x = 39,614,092,048.28
  5. Step 5: Solve for x
    x = 39,614,092,048.28/259,459.20
  6. Step 6: Final answer
    x = 152,679.47

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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.