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Finding the Fourth Proportional to 177,381.80, 266,072.70 and 82,611.80

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Solution

The fourth proportional to 177,381.80, 266,072.70 and 82,611.80 is: 123,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,381.80 : 266,072.70 = 82,611.80 : x
  2. Step 2: Convert to fraction form
    177,381.80/266,072.70 = 82,611.80/x
  3. Step 3: Cross multiply
    177,381.80x = 266,072.70 × 82,611.80
  4. Step 4: Simplify right side
    177,381.80x = 21,980,744,677.86
  5. Step 5: Solve for x
    x = 21,980,744,677.86/177,381.80
  6. Step 6: Final answer
    x = 123,917.70

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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.