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Finding the Fourth Proportional to 468,451, 702,695.94 and 136,027

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Solution

The fourth proportional to 468,451, 702,695.94 and 136,027 is: 204,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,451 : 702,695.94 = 136,027 : x
  2. Step 2: Convert to fraction form
    468,451/702,695.94 = 136,027/x
  3. Step 3: Cross multiply
    468,451x = 702,695.94 × 136,027
  4. Step 4: Simplify right side
    468,451x = 95,585,620,630.38
  5. Step 5: Solve for x
    x = 95,585,620,630.38/468,451
  6. Step 6: Final answer
    x = 204,046.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.