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Finding the Fourth Proportional to 160,978.76, 241,413.46 and 55,773.17

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Solution

The fourth proportional to 160,978.76, 241,413.46 and 55,773.17 is: 83,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.76 : 241,413.46 = 55,773.17 : x
  2. Step 2: Convert to fraction form
    160,978.76/241,413.46 = 55,773.17/x
  3. Step 3: Cross multiply
    160,978.76x = 241,413.46 × 55,773.17
  4. Step 4: Simplify right side
    160,978.76x = 13,464,393,944.87
  5. Step 5: Solve for x
    x = 13,464,393,944.87/160,978.76
  6. Step 6: Final answer
    x = 83,640.81

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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.