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Finding the Fourth Proportional to 206,537.36, 309,771.92 and 66,277.76

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Solution

The fourth proportional to 206,537.36, 309,771.92 and 66,277.76 is: 99,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,537.36 : 309,771.92 = 66,277.76 : x
  2. Step 2: Convert to fraction form
    206,537.36/309,771.92 = 66,277.76/x
  3. Step 3: Cross multiply
    206,537.36x = 309,771.92 × 66,277.76
  4. Step 4: Simplify right side
    206,537.36x = 20,530,988,968.50
  5. Step 5: Solve for x
    x = 20,530,988,968.50/206,537.36
  6. Step 6: Final answer
    x = 99,405.69

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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.