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Finding the Fourth Proportional to 97,181.98, 145,793.42 and 55,082.23

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Solution

The fourth proportional to 97,181.98, 145,793.42 and 55,082.23 is: 82,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,181.98 : 145,793.42 = 55,082.23 : x
  2. Step 2: Convert to fraction form
    97,181.98/145,793.42 = 55,082.23/x
  3. Step 3: Cross multiply
    97,181.98x = 145,793.42 × 55,082.23
  4. Step 4: Simplify right side
    97,181.98x = 8,030,626,692.93
  5. Step 5: Solve for x
    x = 8,030,626,692.93/97,181.98
  6. Step 6: Final answer
    x = 82,634.94

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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.