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Finding the Fourth Proportional to 119,296.91, 178,814.15 and 49,137.95

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Solution

The fourth proportional to 119,296.91, 178,814.15 and 49,137.95 is: 73,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296.91 : 178,814.15 = 49,137.95 : x
  2. Step 2: Convert to fraction form
    119,296.91/178,814.15 = 49,137.95/x
  3. Step 3: Cross multiply
    119,296.91x = 178,814.15 × 49,137.95
  4. Step 4: Simplify right side
    119,296.91x = 8,786,561,147.61
  5. Step 5: Solve for x
    x = 8,786,561,147.61/119,296.91
  6. Step 6: Final answer
    x = 73,652.88

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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.