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Finding the Fourth Proportional to 165,659.72, 248,413.44 and 53,319.20

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Solution

The fourth proportional to 165,659.72, 248,413.44 and 53,319.20 is: 79,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,659.72 : 248,413.44 = 53,319.20 : x
  2. Step 2: Convert to fraction form
    165,659.72/248,413.44 = 53,319.20/x
  3. Step 3: Cross multiply
    165,659.72x = 248,413.44 × 53,319.20
  4. Step 4: Simplify right side
    165,659.72x = 13,245,205,890.05
  5. Step 5: Solve for x
    x = 13,245,205,890.05/165,659.72
  6. Step 6: Final answer
    x = 79,954.29

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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.