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Finding the Fourth Proportional to 149,921.68, 206,892.12 and 86,258.20

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Solution

The fourth proportional to 149,921.68, 206,892.12 and 86,258.20 is: 119,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,921.68 : 206,892.12 = 86,258.20 : x
  2. Step 2: Convert to fraction form
    149,921.68/206,892.12 = 86,258.20/x
  3. Step 3: Cross multiply
    149,921.68x = 206,892.12 × 86,258.20
  4. Step 4: Simplify right side
    149,921.68x = 17,846,141,865.38
  5. Step 5: Solve for x
    x = 17,846,141,865.38/149,921.68
  6. Step 6: Final answer
    x = 119,036.43

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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.