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Finding the Fourth Proportional to 164,972.62, 227,662.84 and 89,521.12

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Solution

The fourth proportional to 164,972.62, 227,662.84 and 89,521.12 is: 123,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,972.62 : 227,662.84 = 89,521.12 : x
  2. Step 2: Convert to fraction form
    164,972.62/227,662.84 = 89,521.12/x
  3. Step 3: Cross multiply
    164,972.62x = 227,662.84 × 89,521.12
  4. Step 4: Simplify right side
    164,972.62x = 20,380,632,419.18
  5. Step 5: Solve for x
    x = 20,380,632,419.18/164,972.62
  6. Step 6: Final answer
    x = 123,539.48

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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.