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Finding the Fourth Proportional to 273,037.55, 409,234.65 and 123,102.30

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Solution

The fourth proportional to 273,037.55, 409,234.65 and 123,102.30 is: 184,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,037.55 : 409,234.65 = 123,102.30 : x
  2. Step 2: Convert to fraction form
    273,037.55/409,234.65 = 123,102.30/x
  3. Step 3: Cross multiply
    273,037.55x = 409,234.65 × 123,102.30
  4. Step 4: Simplify right side
    273,037.55x = 50,377,724,274.77
  5. Step 5: Solve for x
    x = 50,377,724,274.77/273,037.55
  6. Step 6: Final answer
    x = 184,508.41

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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.