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Finding the Fourth Proportional to 206,518.60, 309,389.10 and 106,337.80

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Solution

The fourth proportional to 206,518.60, 309,389.10 and 106,337.80 is: 159,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.60 : 309,389.10 = 106,337.80 : x
  2. Step 2: Convert to fraction form
    206,518.60/309,389.10 = 106,337.80/x
  3. Step 3: Cross multiply
    206,518.60x = 309,389.10 × 106,337.80
  4. Step 4: Simplify right side
    206,518.60x = 32,899,756,237.98
  5. Step 5: Solve for x
    x = 32,899,756,237.98/206,518.60
  6. Step 6: Final answer
    x = 159,306.50

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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.