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Finding the Fourth Proportional to 164,512.96, 227,027.96 and 89,061.46

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Solution

The fourth proportional to 164,512.96, 227,027.96 and 89,061.46 is: 122,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,512.96 : 227,027.96 = 89,061.46 : x
  2. Step 2: Convert to fraction form
    164,512.96/227,027.96 = 89,061.46/x
  3. Step 3: Cross multiply
    164,512.96x = 227,027.96 × 89,061.46
  4. Step 4: Simplify right side
    164,512.96x = 20,219,441,578.42
  5. Step 5: Solve for x
    x = 20,219,441,578.42/164,512.96
  6. Step 6: Final answer
    x = 122,904.86

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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.