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Finding the Fourth Proportional to 206,523.54, 309,817.71 and 88,195.50

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Solution

The fourth proportional to 206,523.54, 309,817.71 and 88,195.50 is: 132,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523.54 : 309,817.71 = 88,195.50 : x
  2. Step 2: Convert to fraction form
    206,523.54/309,817.71 = 88,195.50/x
  3. Step 3: Cross multiply
    206,523.54x = 309,817.71 × 88,195.50
  4. Step 4: Simplify right side
    206,523.54x = 27,324,527,842.31
  5. Step 5: Solve for x
    x = 27,324,527,842.31/206,523.54
  6. Step 6: Final answer
    x = 132,307.09

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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.