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Finding the Fourth Proportional to 146,201.28, 201,759.44 and 85,773

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Solution

The fourth proportional to 146,201.28, 201,759.44 and 85,773 is: 118,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,201.28 : 201,759.44 = 85,773 : x
  2. Step 2: Convert to fraction form
    146,201.28/201,759.44 = 85,773/x
  3. Step 3: Cross multiply
    146,201.28x = 201,759.44 × 85,773
  4. Step 4: Simplify right side
    146,201.28x = 17,305,512,447.12
  5. Step 5: Solve for x
    x = 17,305,512,447.12/146,201.28
  6. Step 6: Final answer
    x = 118,367.72

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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.