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Finding the Fourth Proportional to 149,346.38, 206,100.42 and 81,366.59

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Solution

The fourth proportional to 149,346.38, 206,100.42 and 81,366.59 is: 112,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,346.38 : 206,100.42 = 81,366.59 : x
  2. Step 2: Convert to fraction form
    149,346.38/206,100.42 = 81,366.59/x
  3. Step 3: Cross multiply
    149,346.38x = 206,100.42 × 81,366.59
  4. Step 4: Simplify right side
    149,346.38x = 16,769,688,583.09
  5. Step 5: Solve for x
    x = 16,769,688,583.09/149,346.38
  6. Step 6: Final answer
    x = 112,287.21

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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.