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Finding the Fourth Proportional to 195,318, 269,056.62 and 166,543.97

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Solution

The fourth proportional to 195,318, 269,056.62 and 166,543.97 is: 229,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,318 : 269,056.62 = 166,543.97 : x
  2. Step 2: Convert to fraction form
    195,318/269,056.62 = 166,543.97/x
  3. Step 3: Cross multiply
    195,318x = 269,056.62 × 166,543.97
  4. Step 4: Simplify right side
    195,318x = 44,809,756,304.30
  5. Step 5: Solve for x
    x = 44,809,756,304.30/195,318
  6. Step 6: Final answer
    x = 229,419.49

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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.