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Finding the Fourth Proportional to 202,404.10, 303,692.55 and 97,168.90

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Solution

The fourth proportional to 202,404.10, 303,692.55 and 97,168.90 is: 145,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,404.10 : 303,692.55 = 97,168.90 : x
  2. Step 2: Convert to fraction form
    202,404.10/303,692.55 = 97,168.90/x
  3. Step 3: Cross multiply
    202,404.10x = 303,692.55 × 97,168.90
  4. Step 4: Simplify right side
    202,404.10x = 29,509,471,021.70
  5. Step 5: Solve for x
    x = 29,509,471,021.70/202,404.10
  6. Step 6: Final answer
    x = 145,794.83

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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.