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Finding the Fourth Proportional to 149,659.11, 206,521.29 and 85,119.63

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Solution

The fourth proportional to 149,659.11, 206,521.29 and 85,119.63 is: 117,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,659.11 : 206,521.29 = 85,119.63 : x
  2. Step 2: Convert to fraction form
    149,659.11/206,521.29 = 85,119.63/x
  3. Step 3: Cross multiply
    149,659.11x = 206,521.29 × 85,119.63
  4. Step 4: Simplify right side
    149,659.11x = 17,579,015,791.92
  5. Step 5: Solve for x
    x = 17,579,015,791.92/149,659.11
  6. Step 6: Final answer
    x = 117,460.38

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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.