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Finding the Fourth Proportional to 116,793.39, 161,006.90 and 83,201.07

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Solution

The fourth proportional to 116,793.39, 161,006.90 and 83,201.07 is: 114,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,793.39 : 161,006.90 = 83,201.07 : x
  2. Step 2: Convert to fraction form
    116,793.39/161,006.90 = 83,201.07/x
  3. Step 3: Cross multiply
    116,793.39x = 161,006.90 × 83,201.07
  4. Step 4: Simplify right side
    116,793.39x = 13,395,945,941.38
  5. Step 5: Solve for x
    x = 13,395,945,941.38/116,793.39
  6. Step 6: Final answer
    x = 114,697.81

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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.