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Finding the Fourth Proportional to 207,498.97, 286,375.98 and 116,872.84

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Solution

The fourth proportional to 207,498.97, 286,375.98 and 116,872.84 is: 161,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,498.97 : 286,375.98 = 116,872.84 : x
  2. Step 2: Convert to fraction form
    207,498.97/286,375.98 = 116,872.84/x
  3. Step 3: Cross multiply
    207,498.97x = 286,375.98 × 116,872.84
  4. Step 4: Simplify right side
    207,498.97x = 33,469,574,090.38
  5. Step 5: Solve for x
    x = 33,469,574,090.38/207,498.97
  6. Step 6: Final answer
    x = 161,299.95

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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.