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Finding the Fourth Proportional to 219,872.80, 329,809.20 and 53,660.80

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Solution

The fourth proportional to 219,872.80, 329,809.20 and 53,660.80 is: 80,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,872.80 : 329,809.20 = 53,660.80 : x
  2. Step 2: Convert to fraction form
    219,872.80/329,809.20 = 53,660.80/x
  3. Step 3: Cross multiply
    219,872.80x = 329,809.20 × 53,660.80
  4. Step 4: Simplify right side
    219,872.80x = 17,697,825,519.36
  5. Step 5: Solve for x
    x = 17,697,825,519.36/219,872.80
  6. Step 6: Final answer
    x = 80,491.20

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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.