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Finding the Fourth Proportional to 171,721.80, 257,582.70 and 76,951.80

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Solution

The fourth proportional to 171,721.80, 257,582.70 and 76,951.80 is: 115,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,721.80 : 257,582.70 = 76,951.80 : x
  2. Step 2: Convert to fraction form
    171,721.80/257,582.70 = 76,951.80/x
  3. Step 3: Cross multiply
    171,721.80x = 257,582.70 × 76,951.80
  4. Step 4: Simplify right side
    171,721.80x = 19,821,452,413.86
  5. Step 5: Solve for x
    x = 19,821,452,413.86/171,721.80
  6. Step 6: Final answer
    x = 115,427.70

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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.