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Finding the Fourth Proportional to 219,469.70, 329,204.55 and 194,975.30

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Solution

The fourth proportional to 219,469.70, 329,204.55 and 194,975.30 is: 292,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,469.70 : 329,204.55 = 194,975.30 : x
  2. Step 2: Convert to fraction form
    219,469.70/329,204.55 = 194,975.30/x
  3. Step 3: Cross multiply
    219,469.70x = 329,204.55 × 194,975.30
  4. Step 4: Simplify right side
    219,469.70x = 64,186,755,897.62
  5. Step 5: Solve for x
    x = 64,186,755,897.62/219,469.70
  6. Step 6: Final answer
    x = 292,462.95

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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.