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Finding the Fourth Proportional to 149,691.94, 206,573.88 and 81,708.64

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Solution

The fourth proportional to 149,691.94, 206,573.88 and 81,708.64 is: 112,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,691.94 : 206,573.88 = 81,708.64 : x
  2. Step 2: Convert to fraction form
    149,691.94/206,573.88 = 81,708.64/x
  3. Step 3: Cross multiply
    149,691.94x = 206,573.88 × 81,708.64
  4. Step 4: Simplify right side
    149,691.94x = 16,878,870,794.32
  5. Step 5: Solve for x
    x = 16,878,870,794.32/149,691.94
  6. Step 6: Final answer
    x = 112,757.38

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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.