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Finding the Fourth Proportional to 149,520.38, 206,343.10 and 81,541.06

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Solution

The fourth proportional to 149,520.38, 206,343.10 and 81,541.06 is: 112,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,520.38 : 206,343.10 = 81,541.06 : x
  2. Step 2: Convert to fraction form
    149,520.38/206,343.10 = 81,541.06/x
  3. Step 3: Cross multiply
    149,520.38x = 206,343.10 × 81,541.06
  4. Step 4: Simplify right side
    149,520.38x = 16,825,435,457.54
  5. Step 5: Solve for x
    x = 16,825,435,457.54/149,520.38
  6. Step 6: Final answer
    x = 112,529.38

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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.