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Finding the Fourth Proportional to 164,500.70, 227,008.86 and 89,049.20

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Solution

The fourth proportional to 164,500.70, 227,008.86 and 89,049.20 is: 122,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500.70 : 227,008.86 = 89,049.20 : x
  2. Step 2: Convert to fraction form
    164,500.70/227,008.86 = 89,049.20/x
  3. Step 3: Cross multiply
    164,500.70x = 227,008.86 × 89,049.20
  4. Step 4: Simplify right side
    164,500.70x = 20,214,957,375.91
  5. Step 5: Solve for x
    x = 20,214,957,375.91/164,500.70
  6. Step 6: Final answer
    x = 122,886.76

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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.