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Finding the Fourth Proportional to 85,112.58, 117,201.75 and 83,224.38

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Solution

The fourth proportional to 85,112.58, 117,201.75 and 83,224.38 is: 114,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112.58 : 117,201.75 = 83,224.38 : x
  2. Step 2: Convert to fraction form
    85,112.58/117,201.75 = 83,224.38/x
  3. Step 3: Cross multiply
    85,112.58x = 117,201.75 × 83,224.38
  4. Step 4: Simplify right side
    85,112.58x = 9,754,042,978.67
  5. Step 5: Solve for x
    x = 9,754,042,978.67/85,112.58
  6. Step 6: Final answer
    x = 114,601.66

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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.