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Finding the Fourth Proportional to 164,615.73, 227,157.91 and 96,635.46

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Solution

The fourth proportional to 164,615.73, 227,157.91 and 96,635.46 is: 133,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,615.73 : 227,157.91 = 96,635.46 : x
  2. Step 2: Convert to fraction form
    164,615.73/227,157.91 = 96,635.46/x
  3. Step 3: Cross multiply
    164,615.73x = 227,157.91 × 96,635.46
  4. Step 4: Simplify right side
    164,615.73x = 21,951,509,125.49
  5. Step 5: Solve for x
    x = 21,951,509,125.49/164,615.73
  6. Step 6: Final answer
    x = 133,350.01

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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.