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Finding the Fourth Proportional to 269,722.60, 404,697.30 and 144,917.80

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Solution

The fourth proportional to 269,722.60, 404,697.30 and 144,917.80 is: 217,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,722.60 : 404,697.30 = 144,917.80 : x
  2. Step 2: Convert to fraction form
    269,722.60/404,697.30 = 144,917.80/x
  3. Step 3: Cross multiply
    269,722.60x = 404,697.30 × 144,917.80
  4. Step 4: Simplify right side
    269,722.60x = 58,647,842,381.94
  5. Step 5: Solve for x
    x = 58,647,842,381.94/269,722.60
  6. Step 6: Final answer
    x = 217,437.63

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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.