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Finding the Fourth Proportional to 144,883.20, 217,324.80 and 109,891.20

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Solution

The fourth proportional to 144,883.20, 217,324.80 and 109,891.20 is: 164,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,883.20 : 217,324.80 = 109,891.20 : x
  2. Step 2: Convert to fraction form
    144,883.20/217,324.80 = 109,891.20/x
  3. Step 3: Cross multiply
    144,883.20x = 217,324.80 × 109,891.20
  4. Step 4: Simplify right side
    144,883.20x = 23,882,083,061.76
  5. Step 5: Solve for x
    x = 23,882,083,061.76/144,883.20
  6. Step 6: Final answer
    x = 164,836.80

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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.