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Finding the Fourth Proportional to 132,166.38, 182,306.61 and 78,413.34

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Solution

The fourth proportional to 132,166.38, 182,306.61 and 78,413.34 is: 108,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,166.38 : 182,306.61 = 78,413.34 : x
  2. Step 2: Convert to fraction form
    132,166.38/182,306.61 = 78,413.34/x
  3. Step 3: Cross multiply
    132,166.38x = 182,306.61 × 78,413.34
  4. Step 4: Simplify right side
    132,166.38x = 14,295,270,194.18
  5. Step 5: Solve for x
    x = 14,295,270,194.18/132,166.38
  6. Step 6: Final answer
    x = 108,161.17

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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.