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Finding the Fourth Proportional to 144,763.66, 217,103.85 and 49,969.21

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Solution

The fourth proportional to 144,763.66, 217,103.85 and 49,969.21 is: 74,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763.66 : 217,103.85 = 49,969.21 : x
  2. Step 2: Convert to fraction form
    144,763.66/217,103.85 = 49,969.21/x
  3. Step 3: Cross multiply
    144,763.66x = 217,103.85 × 49,969.21
  4. Step 4: Simplify right side
    144,763.66x = 10,848,507,872.46
  5. Step 5: Solve for x
    x = 10,848,507,872.46/144,763.66
  6. Step 6: Final answer
    x = 74,939.44

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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.