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Finding the Fourth Proportional to 170,591.83, 255,944.37 and 52,264.33

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Solution

The fourth proportional to 170,591.83, 255,944.37 and 52,264.33 is: 78,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,591.83 : 255,944.37 = 52,264.33 : x
  2. Step 2: Convert to fraction form
    170,591.83/255,944.37 = 52,264.33/x
  3. Step 3: Cross multiply
    170,591.83x = 255,944.37 × 52,264.33
  4. Step 4: Simplify right side
    170,591.83x = 13,376,761,015.32
  5. Step 5: Solve for x
    x = 13,376,761,015.32/170,591.83
  6. Step 6: Final answer
    x = 78,413.84

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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.