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Finding the Fourth Proportional to 149,475.38, 206,276.02 and 82,407.38

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Solution

The fourth proportional to 149,475.38, 206,276.02 and 82,407.38 is: 113,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,475.38 : 206,276.02 = 82,407.38 : x
  2. Step 2: Convert to fraction form
    149,475.38/206,276.02 = 82,407.38/x
  3. Step 3: Cross multiply
    149,475.38x = 206,276.02 × 82,407.38
  4. Step 4: Simplify right side
    149,475.38x = 16,998,665,127.63
  5. Step 5: Solve for x
    x = 16,998,665,127.63/149,475.38
  6. Step 6: Final answer
    x = 113,722.18

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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.