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Finding the Fourth Proportional to 201,194.30, 301,682.10 and 82,877.60

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Solution

The fourth proportional to 201,194.30, 301,682.10 and 82,877.60 is: 124,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,194.30 : 301,682.10 = 82,877.60 : x
  2. Step 2: Convert to fraction form
    201,194.30/301,682.10 = 82,877.60/x
  3. Step 3: Cross multiply
    201,194.30x = 301,682.10 × 82,877.60
  4. Step 4: Simplify right side
    201,194.30x = 25,002,688,410.96
  5. Step 5: Solve for x
    x = 25,002,688,410.96/201,194.30
  6. Step 6: Final answer
    x = 124,271.36

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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.