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Finding the Fourth Proportional to 106,413.80, 146,843.63 and 59,853.63

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Solution

The fourth proportional to 106,413.80, 146,843.63 and 59,853.63 is: 82,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,413.80 : 146,843.63 = 59,853.63 : x
  2. Step 2: Convert to fraction form
    106,413.80/146,843.63 = 59,853.63/x
  3. Step 3: Cross multiply
    106,413.80x = 146,843.63 × 59,853.63
  4. Step 4: Simplify right side
    106,413.80x = 8,789,125,110.40
  5. Step 5: Solve for x
    x = 8,789,125,110.40/106,413.80
  6. Step 6: Final answer
    x = 82,593.85

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1.5x scale

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.