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Finding the Fourth Proportional to 164,958.81, 227,643.16 and 89,507.31

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Solution

The fourth proportional to 164,958.81, 227,643.16 and 89,507.31 is: 123,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,958.81 : 227,643.16 = 89,507.31 : x
  2. Step 2: Convert to fraction form
    164,958.81/227,643.16 = 89,507.31/x
  3. Step 3: Cross multiply
    164,958.81x = 227,643.16 × 89,507.31
  4. Step 4: Simplify right side
    164,958.81x = 20,375,727,684.38
  5. Step 5: Solve for x
    x = 20,375,727,684.38/164,958.81
  6. Step 6: Final answer
    x = 123,520.09

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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.