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Finding the Fourth Proportional to 285,612.72, 394,055.49 and 164,737.80

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Solution

The fourth proportional to 285,612.72, 394,055.49 and 164,737.80 is: 227,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,612.72 : 394,055.49 = 164,737.80 : x
  2. Step 2: Convert to fraction form
    285,612.72/394,055.49 = 164,737.80/x
  3. Step 3: Cross multiply
    285,612.72x = 394,055.49 × 164,737.80
  4. Step 4: Simplify right side
    285,612.72x = 64,915,834,500.52
  5. Step 5: Solve for x
    x = 64,915,834,500.52/285,612.72
  6. Step 6: Final answer
    x = 227,286.22

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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.