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Finding the Fourth Proportional to 269,902.10, 404,205.15 and 144,967.70

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Solution

The fourth proportional to 269,902.10, 404,205.15 and 144,967.70 is: 217,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,902.10 : 404,205.15 = 144,967.70 : x
  2. Step 2: Convert to fraction form
    269,902.10/404,205.15 = 144,967.70/x
  3. Step 3: Cross multiply
    269,902.10x = 404,205.15 × 144,967.70
  4. Step 4: Simplify right side
    269,902.10x = 58,596,690,923.66
  5. Step 5: Solve for x
    x = 58,596,690,923.66/269,902.10
  6. Step 6: Final answer
    x = 217,103.50

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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.