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Finding the Fourth Proportional to 116,793.70, 161,007.34 and 83,201.38

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Solution

The fourth proportional to 116,793.70, 161,007.34 and 83,201.38 is: 114,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,793.70 : 161,007.34 = 83,201.38 : x
  2. Step 2: Convert to fraction form
    116,793.70/161,007.34 = 83,201.38/x
  3. Step 3: Cross multiply
    116,793.70x = 161,007.34 × 83,201.38
  4. Step 4: Simplify right side
    116,793.70x = 13,396,032,878.13
  5. Step 5: Solve for x
    x = 13,396,032,878.13/116,793.70
  6. Step 6: Final answer
    x = 114,698.25

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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.