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Finding the Fourth Proportional to 273,057.98, 409,265.18 and 123,122.72

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Solution

The fourth proportional to 273,057.98, 409,265.18 and 123,122.72 is: 184,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,057.98 : 409,265.18 = 123,122.72 : x
  2. Step 2: Convert to fraction form
    273,057.98/409,265.18 = 123,122.72/x
  3. Step 3: Cross multiply
    273,057.98x = 409,265.18 × 123,122.72
  4. Step 4: Simplify right side
    273,057.98x = 50,389,839,500.95
  5. Step 5: Solve for x
    x = 50,389,839,500.95/273,057.98
  6. Step 6: Final answer
    x = 184,538.98

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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.