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Finding the Fourth Proportional to 201,195.40, 301,355.70 and 122,171.80

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Solution

The fourth proportional to 201,195.40, 301,355.70 and 122,171.80 is: 182,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195.40 : 301,355.70 = 122,171.80 : x
  2. Step 2: Convert to fraction form
    201,195.40/301,355.70 = 122,171.80/x
  3. Step 3: Cross multiply
    201,195.40x = 301,355.70 × 122,171.80
  4. Step 4: Simplify right side
    201,195.40x = 36,817,168,309.26
  5. Step 5: Solve for x
    x = 36,817,168,309.26/201,195.40
  6. Step 6: Final answer
    x = 182,992.10

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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.