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Finding the Fourth Proportional to 204,967.99, 307,545.40 and 105,198.24

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Solution

The fourth proportional to 204,967.99, 307,545.40 and 105,198.24 is: 157,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,967.99 : 307,545.40 = 105,198.24 : x
  2. Step 2: Convert to fraction form
    204,967.99/307,545.40 = 105,198.24/x
  3. Step 3: Cross multiply
    204,967.99x = 307,545.40 × 105,198.24
  4. Step 4: Simplify right side
    204,967.99x = 32,353,234,800.10
  5. Step 5: Solve for x
    x = 32,353,234,800.10/204,967.99
  6. Step 6: Final answer
    x = 157,845.30

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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.