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Finding the Fourth Proportional to 164,449.16, 226,939.84 and 88,997.64

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Solution

The fourth proportional to 164,449.16, 226,939.84 and 88,997.64 is: 122,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,449.16 : 226,939.84 = 88,997.64 : x
  2. Step 2: Convert to fraction form
    164,449.16/226,939.84 = 88,997.64/x
  3. Step 3: Cross multiply
    164,449.16x = 226,939.84 × 88,997.64
  4. Step 4: Simplify right side
    164,449.16x = 20,197,110,181.98
  5. Step 5: Solve for x
    x = 20,197,110,181.98/164,449.16
  6. Step 6: Final answer
    x = 122,816.74

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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.