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Finding the Fourth Proportional to 187,951.62, 282,168.01 and 161,467.05

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Solution

The fourth proportional to 187,951.62, 282,168.01 and 161,467.05 is: 242,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,951.62 : 282,168.01 = 161,467.05 : x
  2. Step 2: Convert to fraction form
    187,951.62/282,168.01 = 161,467.05/x
  3. Step 3: Cross multiply
    187,951.62x = 282,168.01 × 161,467.05
  4. Step 4: Simplify right side
    187,951.62x = 45,560,836,179.07
  5. Step 5: Solve for x
    x = 45,560,836,179.07/187,951.62
  6. Step 6: Final answer
    x = 242,407.25

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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.