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Finding the Fourth Proportional to 199,564.40, 299,692.20 and 193,343.60

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Solution

The fourth proportional to 199,564.40, 299,692.20 and 193,343.60 is: 290,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564.40 : 299,692.20 = 193,343.60 : x
  2. Step 2: Convert to fraction form
    199,564.40/299,692.20 = 193,343.60/x
  3. Step 3: Cross multiply
    199,564.40x = 299,692.20 × 193,343.60
  4. Step 4: Simplify right side
    199,564.40x = 57,943,568,839.92
  5. Step 5: Solve for x
    x = 57,943,568,839.92/199,564.40
  6. Step 6: Final answer
    x = 290,350.23

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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.