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Finding the Fourth Proportional to 206,266.76, 309,400.41 and 56,508.37

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Solution

The fourth proportional to 206,266.76, 309,400.41 and 56,508.37 is: 84,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,266.76 : 309,400.41 = 56,508.37 : x
  2. Step 2: Convert to fraction form
    206,266.76/309,400.41 = 56,508.37/x
  3. Step 3: Cross multiply
    206,266.76x = 309,400.41 × 56,508.37
  4. Step 4: Simplify right side
    206,266.76x = 17,483,711,299.43
  5. Step 5: Solve for x
    x = 17,483,711,299.43/206,266.76
  6. Step 6: Final answer
    x = 84,762.62

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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.