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Finding the Fourth Proportional to 219,809.70, 329,714.55 and 204,063.30

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Solution

The fourth proportional to 219,809.70, 329,714.55 and 204,063.30 is: 306,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,809.70 : 329,714.55 = 204,063.30 : x
  2. Step 2: Convert to fraction form
    219,809.70/329,714.55 = 204,063.30/x
  3. Step 3: Cross multiply
    219,809.70x = 329,714.55 × 204,063.30
  4. Step 4: Simplify right side
    219,809.70x = 67,282,639,131.02
  5. Step 5: Solve for x
    x = 67,282,639,131.02/219,809.70
  6. Step 6: Final answer
    x = 306,094.95

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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.