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Finding the Fourth Proportional to 164,991.76, 227,516.52 and 97,910.80

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Solution

The fourth proportional to 164,991.76, 227,516.52 and 97,910.80 is: 135,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,991.76 : 227,516.52 = 97,910.80 : x
  2. Step 2: Convert to fraction form
    164,991.76/227,516.52 = 97,910.80/x
  3. Step 3: Cross multiply
    164,991.76x = 227,516.52 × 97,910.80
  4. Step 4: Simplify right side
    164,991.76x = 22,276,324,486.42
  5. Step 5: Solve for x
    x = 22,276,324,486.42/164,991.76
  6. Step 6: Final answer
    x = 135,014.77

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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.