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Finding the Fourth Proportional to 121,413.06, 167,576.86 and 78,897.78

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Solution

The fourth proportional to 121,413.06, 167,576.86 and 78,897.78 is: 108,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413.06 : 167,576.86 = 78,897.78 : x
  2. Step 2: Convert to fraction form
    121,413.06/167,576.86 = 78,897.78/x
  3. Step 3: Cross multiply
    121,413.06x = 167,576.86 × 78,897.78
  4. Step 4: Simplify right side
    121,413.06x = 13,221,442,233.37
  5. Step 5: Solve for x
    x = 13,221,442,233.37/121,413.06
  6. Step 6: Final answer
    x = 108,896.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.