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Finding the Fourth Proportional to 206,940.59, 285,603.38 and 116,300.38

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Solution

The fourth proportional to 206,940.59, 285,603.38 and 116,300.38 is: 160,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,940.59 : 285,603.38 = 116,300.38 : x
  2. Step 2: Convert to fraction form
    206,940.59/285,603.38 = 116,300.38/x
  3. Step 3: Cross multiply
    206,940.59x = 285,603.38 × 116,300.38
  4. Step 4: Simplify right side
    206,940.59x = 33,215,781,200.03
  5. Step 5: Solve for x
    x = 33,215,781,200.03/206,940.59
  6. Step 6: Final answer
    x = 160,508.78

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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.