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Finding the Fourth Proportional to 164,992.08, 227,689.80 and 89,540.64

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Solution

The fourth proportional to 164,992.08, 227,689.80 and 89,540.64 is: 123,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992.08 : 227,689.80 = 89,540.64 : x
  2. Step 2: Convert to fraction form
    164,992.08/227,689.80 = 89,540.64/x
  3. Step 3: Cross multiply
    164,992.08x = 227,689.80 × 89,540.64
  4. Step 4: Simplify right side
    164,992.08x = 20,387,490,413.47
  5. Step 5: Solve for x
    x = 20,387,490,413.47/164,992.08
  6. Step 6: Final answer
    x = 123,566.48

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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.