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Finding the Fourth Proportional to 201,811.68, 302,250.96 and 194,813.28

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Solution

The fourth proportional to 201,811.68, 302,250.96 and 194,813.28 is: 291,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.68 : 302,250.96 = 194,813.28 : x
  2. Step 2: Convert to fraction form
    201,811.68/302,250.96 = 194,813.28/x
  3. Step 3: Cross multiply
    201,811.68x = 302,250.96 × 194,813.28
  4. Step 4: Simplify right side
    201,811.68x = 58,882,500,900.75
  5. Step 5: Solve for x
    x = 58,882,500,900.75/201,811.68
  6. Step 6: Final answer
    x = 291,769.54

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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.