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Finding the Fourth Proportional to 146,149.39, 201,719.87 and 85,739.44

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Solution

The fourth proportional to 146,149.39, 201,719.87 and 85,739.44 is: 118,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,149.39 : 201,719.87 = 85,739.44 : x
  2. Step 2: Convert to fraction form
    146,149.39/201,719.87 = 85,739.44/x
  3. Step 3: Cross multiply
    146,149.39x = 201,719.87 × 85,739.44
  4. Step 4: Simplify right side
    146,149.39x = 17,295,348,766.28
  5. Step 5: Solve for x
    x = 17,295,348,766.28/146,149.39
  6. Step 6: Final answer
    x = 118,340.20

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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.