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Finding the Fourth Proportional to 297,255.81, 445,898.34 and 119,738.82

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Solution

The fourth proportional to 297,255.81, 445,898.34 and 119,738.82 is: 179,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,255.81 : 445,898.34 = 119,738.82 : x
  2. Step 2: Convert to fraction form
    297,255.81/445,898.34 = 119,738.82/x
  3. Step 3: Cross multiply
    297,255.81x = 445,898.34 × 119,738.82
  4. Step 4: Simplify right side
    297,255.81x = 53,391,341,071.56
  5. Step 5: Solve for x
    x = 53,391,341,071.56/297,255.81
  6. Step 6: Final answer
    x = 179,614.12

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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.