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Finding the Fourth Proportional to 160,978.51, 241,413.09 and 55,772.92

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Solution

The fourth proportional to 160,978.51, 241,413.09 and 55,772.92 is: 83,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.51 : 241,413.09 = 55,772.92 : x
  2. Step 2: Convert to fraction form
    160,978.51/241,413.09 = 55,772.92/x
  3. Step 3: Cross multiply
    160,978.51x = 241,413.09 × 55,772.92
  4. Step 4: Simplify right side
    160,978.51x = 13,464,312,676.66
  5. Step 5: Solve for x
    x = 13,464,312,676.66/160,978.51
  6. Step 6: Final answer
    x = 83,640.44

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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.