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Finding the Fourth Proportional to 144,892.75, 217,359.41 and 136,924.75

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Solution

The fourth proportional to 144,892.75, 217,359.41 and 136,924.75 is: 205,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,892.75 : 217,359.41 = 136,924.75 : x
  2. Step 2: Convert to fraction form
    144,892.75/217,359.41 = 136,924.75/x
  3. Step 3: Cross multiply
    144,892.75x = 217,359.41 × 136,924.75
  4. Step 4: Simplify right side
    144,892.75x = 29,761,882,874.40
  5. Step 5: Solve for x
    x = 29,761,882,874.40/144,892.75
  6. Step 6: Final answer
    x = 205,406.29

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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.