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Finding the Fourth Proportional to 204,898.92, 307,337.28 and 78,599.70

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Solution

The fourth proportional to 204,898.92, 307,337.28 and 78,599.70 is: 117,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,898.92 : 307,337.28 = 78,599.70 : x
  2. Step 2: Convert to fraction form
    204,898.92/307,337.28 = 78,599.70/x
  3. Step 3: Cross multiply
    204,898.92x = 307,337.28 × 78,599.70
  4. Step 4: Simplify right side
    204,898.92x = 24,156,618,006.82
  5. Step 5: Solve for x
    x = 24,156,618,006.82/204,898.92
  6. Step 6: Final answer
    x = 117,895.29

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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.