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Finding the Fourth Proportional to 201,171.60, 301,797.90 and 59,016.60

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Solution

The fourth proportional to 201,171.60, 301,797.90 and 59,016.60 is: 88,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,171.60 : 301,797.90 = 59,016.60 : x
  2. Step 2: Convert to fraction form
    201,171.60/301,797.90 = 59,016.60/x
  3. Step 3: Cross multiply
    201,171.60x = 301,797.90 × 59,016.60
  4. Step 4: Simplify right side
    201,171.60x = 17,811,085,945.14
  5. Step 5: Solve for x
    x = 17,811,085,945.14/201,171.60
  6. Step 6: Final answer
    x = 88,536.78

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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.