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Finding the Fourth Proportional to 171,722.17, 257,731.49 and 119,168.56

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Solution

The fourth proportional to 171,722.17, 257,731.49 and 119,168.56 is: 178,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,722.17 : 257,731.49 = 119,168.56 : x
  2. Step 2: Convert to fraction form
    171,722.17/257,731.49 = 119,168.56/x
  3. Step 3: Cross multiply
    171,722.17x = 257,731.49 × 119,168.56
  4. Step 4: Simplify right side
    171,722.17x = 30,713,490,529.95
  5. Step 5: Solve for x
    x = 30,713,490,529.95/171,722.17
  6. Step 6: Final answer
    x = 178,855.71

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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.