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Finding the Fourth Proportional to 206,732.57, 309,683.64 and 94,258.07

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Solution

The fourth proportional to 206,732.57, 309,683.64 and 94,258.07 is: 141,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,732.57 : 309,683.64 = 94,258.07 : x
  2. Step 2: Convert to fraction form
    206,732.57/309,683.64 = 94,258.07/x
  3. Step 3: Cross multiply
    206,732.57x = 309,683.64 × 94,258.07
  4. Step 4: Simplify right side
    206,732.57x = 29,190,180,668.56
  5. Step 5: Solve for x
    x = 29,190,180,668.56/206,732.57
  6. Step 6: Final answer
    x = 141,197.79

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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.