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Finding the Fourth Proportional to 273,379.83, 409,929.30 and 123,538.95

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Solution

The fourth proportional to 273,379.83, 409,929.30 and 123,538.95 is: 185,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,379.83 : 409,929.30 = 123,538.95 : x
  2. Step 2: Convert to fraction form
    273,379.83/409,929.30 = 123,538.95/x
  3. Step 3: Cross multiply
    273,379.83x = 409,929.30 × 123,538.95
  4. Step 4: Simplify right side
    273,379.83x = 50,642,235,296.24
  5. Step 5: Solve for x
    x = 50,642,235,296.24/273,379.83
  6. Step 6: Final answer
    x = 185,244.96

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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.