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Finding the Fourth Proportional to 164,654.62, 227,221.95 and 89,202.94

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Solution

The fourth proportional to 164,654.62, 227,221.95 and 89,202.94 is: 123,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,654.62 : 227,221.95 = 89,202.94 : x
  2. Step 2: Convert to fraction form
    164,654.62/227,221.95 = 89,202.94/x
  3. Step 3: Cross multiply
    164,654.62x = 227,221.95 × 89,202.94
  4. Step 4: Simplify right side
    164,654.62x = 20,268,865,972.53
  5. Step 5: Solve for x
    x = 20,268,865,972.53/164,654.62
  6. Step 6: Final answer
    x = 123,099.28

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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.