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Finding the Fourth Proportional to 140,890.50, 194,448.78 and 87,192.81

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Solution

The fourth proportional to 140,890.50, 194,448.78 and 87,192.81 is: 120,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,890.50 : 194,448.78 = 87,192.81 : x
  2. Step 2: Convert to fraction form
    140,890.50/194,448.78 = 87,192.81/x
  3. Step 3: Cross multiply
    140,890.50x = 194,448.78 × 87,192.81
  4. Step 4: Simplify right side
    140,890.50x = 16,954,535,529.27
  5. Step 5: Solve for x
    x = 16,954,535,529.27/140,890.50
  6. Step 6: Final answer
    x = 120,338.39

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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.