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Finding the Fourth Proportional to 286,100.91, 394,800.89 and 178,664.54

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Solution

The fourth proportional to 286,100.91, 394,800.89 and 178,664.54 is: 246,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,100.91 : 394,800.89 = 178,664.54 : x
  2. Step 2: Convert to fraction form
    286,100.91/394,800.89 = 178,664.54/x
  3. Step 3: Cross multiply
    286,100.91x = 394,800.89 × 178,664.54
  4. Step 4: Simplify right side
    286,100.91x = 70,536,916,536.11
  5. Step 5: Solve for x
    x = 70,536,916,536.11/286,100.91
  6. Step 6: Final answer
    x = 246,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.