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Finding the Fourth Proportional to 206,324.52, 284,732.12 and 116,900.52

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Solution

The fourth proportional to 206,324.52, 284,732.12 and 116,900.52 is: 161,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,324.52 : 284,732.12 = 116,900.52 : x
  2. Step 2: Convert to fraction form
    206,324.52/284,732.12 = 116,900.52/x
  3. Step 3: Cross multiply
    206,324.52x = 284,732.12 × 116,900.52
  4. Step 4: Simplify right side
    206,324.52x = 33,285,332,888.70
  5. Step 5: Solve for x
    x = 33,285,332,888.70/206,324.52
  6. Step 6: Final answer
    x = 161,325.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.