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Finding the Fourth Proportional to 146,202.67, 201,761.37 and 85,774.37

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Solution

The fourth proportional to 146,202.67, 201,761.37 and 85,774.37 is: 118,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,202.67 : 201,761.37 = 85,774.37 : x
  2. Step 2: Convert to fraction form
    146,202.67/201,761.37 = 85,774.37/x
  3. Step 3: Cross multiply
    146,202.67x = 201,761.37 × 85,774.37
  4. Step 4: Simplify right side
    146,202.67x = 17,305,953,973.22
  5. Step 5: Solve for x
    x = 17,305,953,973.22/146,202.67
  6. Step 6: Final answer
    x = 118,369.62

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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.