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Finding the Fourth Proportional to 259,911.52, 389,553.12 and 126,592

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Solution

The fourth proportional to 259,911.52, 389,553.12 and 126,592 is: 189,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,911.52 : 389,553.12 = 126,592 : x
  2. Step 2: Convert to fraction form
    259,911.52/389,553.12 = 126,592/x
  3. Step 3: Cross multiply
    259,911.52x = 389,553.12 × 126,592
  4. Step 4: Simplify right side
    259,911.52x = 49,314,308,567.04
  5. Step 5: Solve for x
    x = 49,314,308,567.04/259,911.52
  6. Step 6: Final answer
    x = 189,734.99

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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.