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Finding the Fourth Proportional to 179,849.80, 269,774.70 and 144,857.80

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Solution

The fourth proportional to 179,849.80, 269,774.70 and 144,857.80 is: 217,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,849.80 : 269,774.70 = 144,857.80 : x
  2. Step 2: Convert to fraction form
    179,849.80/269,774.70 = 144,857.80/x
  3. Step 3: Cross multiply
    179,849.80x = 269,774.70 × 144,857.80
  4. Step 4: Simplify right side
    179,849.80x = 39,078,969,537.66
  5. Step 5: Solve for x
    x = 39,078,969,537.66/179,849.80
  6. Step 6: Final answer
    x = 217,286.70

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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.