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Finding the Fourth Proportional to 204,953.70, 307,430.55 and 144,819.30

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Solution

The fourth proportional to 204,953.70, 307,430.55 and 144,819.30 is: 217,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953.70 : 307,430.55 = 144,819.30 : x
  2. Step 2: Convert to fraction form
    204,953.70/307,430.55 = 144,819.30/x
  3. Step 3: Cross multiply
    204,953.70x = 307,430.55 × 144,819.30
  4. Step 4: Simplify right side
    204,953.70x = 44,521,877,049.62
  5. Step 5: Solve for x
    x = 44,521,877,049.62/204,953.70
  6. Step 6: Final answer
    x = 217,228.95

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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.