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Finding the Fourth Proportional to 329,093.11, 493,541.85 and 139,550.68

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Solution

The fourth proportional to 329,093.11, 493,541.85 and 139,550.68 is: 209,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,093.11 : 493,541.85 = 139,550.68 : x
  2. Step 2: Convert to fraction form
    329,093.11/493,541.85 = 139,550.68/x
  3. Step 3: Cross multiply
    329,093.11x = 493,541.85 × 139,550.68
  4. Step 4: Simplify right side
    329,093.11x = 68,874,100,775.96
  5. Step 5: Solve for x
    x = 68,874,100,775.96/329,093.11
  6. Step 6: Final answer
    x = 209,284.54

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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.