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Finding the Fourth Proportional to 201,293.10, 301,976.10 and 101,201.40

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Solution

The fourth proportional to 201,293.10, 301,976.10 and 101,201.40 is: 151,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,293.10 : 301,976.10 = 101,201.40 : x
  2. Step 2: Convert to fraction form
    201,293.10/301,976.10 = 101,201.40/x
  3. Step 3: Cross multiply
    201,293.10x = 301,976.10 × 101,201.40
  4. Step 4: Simplify right side
    201,293.10x = 30,560,404,086.54
  5. Step 5: Solve for x
    x = 30,560,404,086.54/201,293.10
  6. Step 6: Final answer
    x = 151,820.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.