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Finding the Fourth Proportional to 207,466, 286,286.04 and 116,793

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Solution

The fourth proportional to 207,466, 286,286.04 and 116,793 is: 161,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,466 : 286,286.04 = 116,793 : x
  2. Step 2: Convert to fraction form
    207,466/286,286.04 = 116,793/x
  3. Step 3: Cross multiply
    207,466x = 286,286.04 × 116,793
  4. Step 4: Simplify right side
    207,466x = 33,436,205,469.72
  5. Step 5: Solve for x
    x = 33,436,205,469.72/207,466
  6. Step 6: Final answer
    x = 161,164.75

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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.