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Finding the Fourth Proportional to 201,212.40, 301,381.20 and 122,188.80

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Solution

The fourth proportional to 201,212.40, 301,381.20 and 122,188.80 is: 183,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.40 : 301,381.20 = 122,188.80 : x
  2. Step 2: Convert to fraction form
    201,212.40/301,381.20 = 122,188.80/x
  3. Step 3: Cross multiply
    201,212.40x = 301,381.20 × 122,188.80
  4. Step 4: Simplify right side
    201,212.40x = 36,825,407,170.56
  5. Step 5: Solve for x
    x = 36,825,407,170.56/201,212.40
  6. Step 6: Final answer
    x = 183,017.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.