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Finding the Fourth Proportional to 394,195.73, 591,332.30 and 106,003.80

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Solution

The fourth proportional to 394,195.73, 591,332.30 and 106,003.80 is: 159,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,195.73 : 591,332.30 = 106,003.80 : x
  2. Step 2: Convert to fraction form
    394,195.73/591,332.30 = 106,003.80/x
  3. Step 3: Cross multiply
    394,195.73x = 591,332.30 × 106,003.80
  4. Step 4: Simplify right side
    394,195.73x = 62,683,470,332.72
  5. Step 5: Solve for x
    x = 62,683,470,332.72/394,195.73
  6. Step 6: Final answer
    x = 159,016.11

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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.