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Finding the Fourth Proportional to 201,077.30, 301,725.30 and 82,760.60

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Solution

The fourth proportional to 201,077.30, 301,725.30 and 82,760.60 is: 124,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.30 : 301,725.30 = 82,760.60 : x
  2. Step 2: Convert to fraction form
    201,077.30/301,725.30 = 82,760.60/x
  3. Step 3: Cross multiply
    201,077.30x = 301,725.30 × 82,760.60
  4. Step 4: Simplify right side
    201,077.30x = 24,970,966,863.18
  5. Step 5: Solve for x
    x = 24,970,966,863.18/201,077.30
  6. Step 6: Final answer
    x = 124,185.91

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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.