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Finding the Fourth Proportional to 167,276.89, 230,842.34 and 90,796

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Solution

The fourth proportional to 167,276.89, 230,842.34 and 90,796 is: 125,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,276.89 : 230,842.34 = 90,796 : x
  2. Step 2: Convert to fraction form
    167,276.89/230,842.34 = 90,796/x
  3. Step 3: Cross multiply
    167,276.89x = 230,842.34 × 90,796
  4. Step 4: Simplify right side
    167,276.89x = 20,959,561,102.64
  5. Step 5: Solve for x
    x = 20,959,561,102.64/167,276.89
  6. Step 6: Final answer
    x = 125,298.61

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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.