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Finding the Fourth Proportional to 201,257.10, 301,922.10 and 101,165.40

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Solution

The fourth proportional to 201,257.10, 301,922.10 and 101,165.40 is: 151,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257.10 : 301,922.10 = 101,165.40 : x
  2. Step 2: Convert to fraction form
    201,257.10/301,922.10 = 101,165.40/x
  3. Step 3: Cross multiply
    201,257.10x = 301,922.10 × 101,165.40
  4. Step 4: Simplify right side
    201,257.10x = 30,544,070,015.34
  5. Step 5: Solve for x
    x = 30,544,070,015.34/201,257.10
  6. Step 6: Final answer
    x = 151,766.42

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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.