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Finding the Fourth Proportional to 149,333.71, 206,080.43 and 82,265.71

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Solution

The fourth proportional to 149,333.71, 206,080.43 and 82,265.71 is: 113,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,333.71 : 206,080.43 = 82,265.71 : x
  2. Step 2: Convert to fraction form
    149,333.71/206,080.43 = 82,265.71/x
  3. Step 3: Cross multiply
    149,333.71x = 206,080.43 × 82,265.71
  4. Step 4: Simplify right side
    149,333.71x = 16,953,352,891.06
  5. Step 5: Solve for x
    x = 16,953,352,891.06/149,333.71
  6. Step 6: Final answer
    x = 113,526.63

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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.