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Finding the Fourth Proportional to 468,469, 702,722.94 and 136,045

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Solution

The fourth proportional to 468,469, 702,722.94 and 136,045 is: 204,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,469 : 702,722.94 = 136,045 : x
  2. Step 2: Convert to fraction form
    468,469/702,722.94 = 136,045/x
  3. Step 3: Cross multiply
    468,469x = 702,722.94 × 136,045
  4. Step 4: Simplify right side
    468,469x = 95,601,942,372.30
  5. Step 5: Solve for x
    x = 95,601,942,372.30/468,469
  6. Step 6: Final answer
    x = 204,073.15

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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.