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Finding the Fourth Proportional to 189,863.70, 284,869.05 and 174,362.73

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Solution

The fourth proportional to 189,863.70, 284,869.05 and 174,362.73 is: 261,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,863.70 : 284,869.05 = 174,362.73 : x
  2. Step 2: Convert to fraction form
    189,863.70/284,869.05 = 174,362.73/x
  3. Step 3: Cross multiply
    189,863.70x = 284,869.05 × 174,362.73
  4. Step 4: Simplify right side
    189,863.70x = 49,670,545,250.51
  5. Step 5: Solve for x
    x = 49,670,545,250.51/189,863.70
  6. Step 6: Final answer
    x = 261,611.59

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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.