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Finding the Fourth Proportional to 146,640, 202,361.04 and 86,217.44

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Solution

The fourth proportional to 146,640, 202,361.04 and 86,217.44 is: 118,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,640 : 202,361.04 = 86,217.44 : x
  2. Step 2: Convert to fraction form
    146,640/202,361.04 = 86,217.44/x
  3. Step 3: Cross multiply
    146,640x = 202,361.04 × 86,217.44
  4. Step 4: Simplify right side
    146,640x = 17,447,050,824.54
  5. Step 5: Solve for x
    x = 17,447,050,824.54/146,640
  6. Step 6: Final answer
    x = 118,978.80

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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.