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Finding the Fourth Proportional to 265,295.97, 397,693.79 and 132,050.26

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Solution

The fourth proportional to 265,295.97, 397,693.79 and 132,050.26 is: 197,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,295.97 : 397,693.79 = 132,050.26 : x
  2. Step 2: Convert to fraction form
    265,295.97/397,693.79 = 132,050.26/x
  3. Step 3: Cross multiply
    265,295.97x = 397,693.79 × 132,050.26
  4. Step 4: Simplify right side
    265,295.97x = 52,515,568,369.89
  5. Step 5: Solve for x
    x = 52,515,568,369.89/265,295.97
  6. Step 6: Final answer
    x = 197,950.87

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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.