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Finding the Fourth Proportional to 219,610.70, 329,416.05 and 144,815.30

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Solution

The fourth proportional to 219,610.70, 329,416.05 and 144,815.30 is: 217,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,610.70 : 329,416.05 = 144,815.30 : x
  2. Step 2: Convert to fraction form
    219,610.70/329,416.05 = 144,815.30/x
  3. Step 3: Cross multiply
    219,610.70x = 329,416.05 × 144,815.30
  4. Step 4: Simplify right side
    219,610.70x = 47,704,484,105.57
  5. Step 5: Solve for x
    x = 47,704,484,105.57/219,610.70
  6. Step 6: Final answer
    x = 217,222.95

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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.