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Finding the Fourth Proportional to 116,791.70, 161,004.58 and 83,199.38

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Solution

The fourth proportional to 116,791.70, 161,004.58 and 83,199.38 is: 114,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,791.70 : 161,004.58 = 83,199.38 : x
  2. Step 2: Convert to fraction form
    116,791.70/161,004.58 = 83,199.38/x
  3. Step 3: Cross multiply
    116,791.70x = 161,004.58 × 83,199.38
  4. Step 4: Simplify right side
    116,791.70x = 13,395,480,220.14
  5. Step 5: Solve for x
    x = 13,395,480,220.14/116,791.70
  6. Step 6: Final answer
    x = 114,695.49

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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.