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Finding the Fourth Proportional to 201,438.28, 302,164.17 and 61,196.50

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Solution

The fourth proportional to 201,438.28, 302,164.17 and 61,196.50 is: 91,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,438.28 : 302,164.17 = 61,196.50 : x
  2. Step 2: Convert to fraction form
    201,438.28/302,164.17 = 61,196.50/x
  3. Step 3: Cross multiply
    201,438.28x = 302,164.17 × 61,196.50
  4. Step 4: Simplify right side
    201,438.28x = 18,491,389,629.41
  5. Step 5: Solve for x
    x = 18,491,389,629.41/201,438.28
  6. Step 6: Final answer
    x = 91,796.80

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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.