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Finding the Fourth Proportional to 206,267.40, 309,433.14 and 87,939

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Solution

The fourth proportional to 206,267.40, 309,433.14 and 87,939 is: 131,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,267.40 : 309,433.14 = 87,939 : x
  2. Step 2: Convert to fraction form
    206,267.40/309,433.14 = 87,939/x
  3. Step 3: Cross multiply
    206,267.40x = 309,433.14 × 87,939
  4. Step 4: Simplify right side
    206,267.40x = 27,211,240,898.46
  5. Step 5: Solve for x
    x = 27,211,240,898.46/206,267.40
  6. Step 6: Final answer
    x = 131,922.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.